Absolvent in 1976 al Facultatii de Matematica, Universitatea Babes- Bolyai” din Cluj-Napoca, Romania. Masterat in Analiza Matematica, 1977, la… [616073]

CURRICULUM VITAE
Sorin G. Gal
Data nasterii : 23.08.1953
EDUCATIE
Absolvent: [anonimizat] 1976 al Facultatii de Matematica, Universitatea Babes-
Bolyai" din Cluj-Napoca, Romania.
Masterat in Analiza Matematica, 1977, la aceeasi universitate
Doctor in Matematica la Universitatea "Babes-Bolyai" Cluj (1992) cu
teza "Approximare cu restrictii a functiilor reale", conducator stiinti¯c Pro-
fesor Dr. Ioan Muntean.
Adresa: Departamentul de Mathematica, Universitatea din Oradea, Str.
Universitatii No. 1, Oradea 410087, ROMANIA, e-mail: [anonimizat]
EXPERIENTA ACADEMICA
1990-1993 Lector la Universitatea din Oradea
1993-1996 Conferentiar la Universitatea din Oradea
1996-prezent Profesor universitar la Universitatea din Oradea
Visiting professor la "Department of Mathematical Sciences, University
of Memphis, TN, U.S.A." : 2000 (semestrul de toamna), 2005 (semestrul de
primavara), 2009(semestrul de primavara).
ARII DE INTERES
Teoria Aproximarii ; Analiza Reala, Complexa si Hypercomplexa ; Ecu-
atii de Evolutie de Variabila Complexa, Matematica Fuzzy ; Semigrupuri de
Operatori si Ecuatii Diferentiale Fuzzy ; Teoria Masurii ; Analiza Function-
ala.
ACTIVITATE DIDACTICA
Cursuri si seminarii de :
Analiza Complexa, Analiza Reala, Matematica Fuzzy, Functii Speciale,
Ecuatii Diferentiale si Integrale, Calcul Diferential si Integral, Matematici
1

Speciale pentru Ingineri, Teoria Geometric a Functiilor de Variabile Hy-
percomplexe, Analiza pe Spatii Ultrametrice, Teoria Aproximarii Functiilor,
Calcul Numeric.
ALTE ACTIVITATI
Director al Departmentului of Matematica, 1994 – 1996, 1998 – 2000;
Prodecan, 2008-2011 ;
Redactor sef la "Anal. Univ. Oradea" fasc. math. (revista B+), din
2001- prezent ;
Membru in comitetele de redactie la :
– Journal of Concrete and Applicable Math. (USA), din 2005- prezent ;
– International Journal of Evolution Equations (USA) ; din 2005- prezent
;
– European Journal of Pure and Applied Mathematics (Istanbul, Turcia),
din 2008-prezent ;
– International Journal of Modern Mathematics, 2006-2011 ;
Recenzor la "Mathematical Reviews" (USA).
Referent la numeroase reviste internationale de matematica :
Acta Math. Hung., Publ. Math. Debrecen, Fuzzy Sets and Systems, Bol.
Soc. Mat. Mexicana, Approx. Theor. and Appl., J. Fuzzy Math., Intern.
J. Math. and Math. Sci., J. Math. Anal. and Appl., Constr. Approx.,
Nonlinear Analysis, Comp. Math. Appl., Neural Networks, Appl. Math.
Comput., Applied Math. Letters, Results in Math., Nonlinear Analysis, etc.
Membru la "American Mathematical Society", din 1994 – prezent .
Cercetator invitat la Institutul de Matematica al Academiei Ungare de
Stiinte din Budapesta, in May 1991 si in May 1997.
Invitat la "Research Seminar on Approximation, Complex Functions and
Potential Theory" (suport ¯nancial complet), Universitatea of Montreal,
Canada, 3 – 14 Iulie, 2000.
Participant la numeroase conferinte nationale si internationale de matem-
atica.
2

LISTA MONOGRAFIILOR DE CERCETARE
SI A LUCRARILOR
-MONOGRAFII DE CERCETARE-
1.(cu G. A. Anastassiou), Approximation Theory:Moduli of Continuity
and Global Smoothness Preservation , Birkhauser Publ. Co., Boston,
Basel, Berlin, 2000, 525 pagini , ISBN 0-8176-4151-3.(MR 2000k:41001)
2.Capitolele 12 si 13 din "Handbook on Analytic-Computational Meth-
ods in Applied Mathematics" (G.A. Anastassiou ed.), Chapman and
Hall/CRC, Boca Raton, London, New York, Washington, D.C., 2000.
(MR 2001g:41028 and MR 2001g:41029) 100 pagini .
3.(cu A.I. Ban) Defects of Properties in Mathematics. Quantitative Char-
acterizations , World Scienti¯c Publ. Comp., New Jersey, London, Sin-
gapore, Hong Kong, 2002, 350 pagini , ISBN 981-02-4924-1. (MR
2003b:0001)(Zbl 1035.0001)
4.Introduction to Geometric Function Theory of Hypercomplex Variable ,
Nova Science Publ. Inc., New York, 2002, xvi + 319 pagini , ISBN
1-59033-363-0. (MR 2005f :30084)
5.Global Smoothness and Shape Preserving Interpolation by Classical Op-
erators , Birkhauser Publ. Co., Boston, Basel, Berlin, 2005, 153 pagini ,
ISBN 0-8176-4387-7 . (MR 2006c:41001, Zbl.1087.41001)
6.Shape-Preserving Approximation by Real and Complex Polynomials ,
Birkhauser Publ. Co., Boston, Basel, Berlin, 352 pagini , 2008, ISBN:
978-0-8176-4702-5.
7.Approximation by Complex Bernstein and Convolution Type Operators ,
World Scienti¯c Publ., New Jersey, London, Singapore, Hong Kong,
349 pagini , 2009, ISBN: 978-9-8142-8242-0.
3

-LUCRARI IN REVISTE-
8.Di®erences divisees et representations sous forme des integrales du
polynome d'interpolation….., Bull. Math. Soc. Sci. Roum., 5(73),
2,(1981), 147-15. (MR 83e:41003).
9.Sur les theoremes d'approximation de Weierstrass, Mathematica (Cluj),
23(46), 1, (1981), 25-30. (MR 83e:41009).
10.Sur les theoremes d'approximation de Stone-Weierstrass, Studia Univ.
"Babes-Bolyai" (Cluj), ser. math. 26(1981), 33-39. (MR 84b:41029).
11.Sur l'approximation par des polynomes dans Cp[a; b], Studia Univ.
"Babes-Bolyai" (Cluj), ser. math., 27(1982), 57-64. (MR 84f:41034).
12.Sur l'approximation par des suites dans un espace norme reel, avec
applications aux espaces des fonctions, Seminar "Th. Anghelutza",
Politeh. Inst. of Cluj, vol. I (1983), 5-13.
13.Sur les ensembles denses dans quelques espaces des fonctions, Mathe-
matica (Cluj), 26(49)(1984), 45-51. (MR 87c:41016).
14.On the approximation by polynomials in Cq[0;1], J. Approx. Theory,
42(1984), 27-29. (MR 86c:41006).
15.Sur l'approximation des fonctions semi-continues par des suites de poly-
nome, Studia Univ. "Babes-Bolyai" (Cluj), ser. math., 30(1985), 5-
8.(MR 87f:41009).
16.Dense linear subspaces in Lp(E), Rendiconti di Matematica (Roma),
ser. VII, vol. 6, Nr. 1-2(1986), 125-130. (MR 89j:41052).
17.(cu I. Muntean) Dini theorems for sequences which satisfy a general-
ized Alexandrov condition, "Babes-Bolyai" University, Research Sem-
inars,Seminar on Mathematical Analysis, Preprint No. 7, 1987, 97-
102.(MR 90f:54021).
18.Approximation of continuous functions by monotone sequences of poly-
nomials with restricted coe±cients, Publ. Inst. Math. (Beograd),
44(56)(1988), 45-48. (MR 90d:41010).
4

19.Approximation of real-valued functions by monotone sequences of poly-
nomials, "Babes-Bolyai" University, Research Seminars, Seminar on
Mathematical Analysis, Preprint No. 7, 1988, 55-64. (MR 90c:41008).
20.Approximation of continuously di®erentiable functions by monotone
sequences of polynomials of two variables, Studia Univ. "Babes-Bolyai"
(Cluj), ser. math. , 34(1989), Nr.2, 41-43. (MR 91k:41013).
21.Approximation in Lp[a; b] by sequences having properties of global
monotony and appplications to Fourier series, "Babes-Bolyai" Univer-
sity, Research Seminars, Seminar on Mathematical Analysis, Preprint
No. 7, 1989, 61-68. (MR 91c:41052).
22.New Dini theorems for sequences which satisfy generalized Alexandrov
conditions, Studia Univ. "Babes-Bolyai", ser. math., 34(1989), 20-23.
(MR 91g:26005).
23.Constructive approximation by monotonous polynomial sequences in
Lip(M; ®), with ®in (0 ;1], J. Approx. Theory, 59(1989), 356-358.
(MR 90k:41010).
24.A construction of monotonically convergent sequences from succesive
approximations in certain Banach spaces, Numerische Mathematik,
56(1989), 67-71. (MR 90g:47118).
25.Extensions d'un resultat sur l'approximation par des polynomes dans
Cp[0;1], Mathematica(Cluj), 31(54)(1989), 47-51. (MR 91m:41013).
26.Calculus of the modulus of continuity for non-concave functions and
applications, Calcolo (Pisa), 3-4(1990), 195-202. (MR 92k:41014).
27.Approximation of continuous functions on [0,1] by monotone sequences
of polynomials having interpolating properties at 0 and 1, "Babes-
Bolyai" University, Research Seminars, Seminar on Mathematical Anal-
ysis, Preprint Nr. 7, 1990, 45-52. (MR 93e:41011).
28.Approximation of continuous functions by monotone sequences of poly-
nomials with integral coe±cients, Publ. Inst. Math. (Beograd), 49(63),
(1991), 92-96. (MR 92h:41013).
5

29.Calculus of higher order modulus of smoothness for convex functions of
higher order and applications, Calcolo (Pisa), 3-4, 28(1991), 275-282.
(MR 94e:26014).
30.Characterization of elements of best approximation in normed module
over F-ordered rings, Anal. Univ. Oradea, fasc. mat., 1(1991), 79-86.
31.(cu J. Szabados) On monotone and doubly monotone polynomial ap-
proximation, Acta Math. Hungar., 59(3-4)(1992), 395-399. (MR 94e:41014).
32.Calculus of the modulus of continuity for convex function de¯ned onun-
bounded intervals and applications, "Babes-Bolyai" University, Re-
search Seminars, Seminar on Mathematical Analysis, Preprint No. 7,
1992, 60-70. (MR 94e:26006).
33.Properties of the modulus of smoothness for convex function of higher
order, Anal. Univ. Oradea, fasc. mat., 2(1992), 48-52.
34.Calculus of higher order averaged modulus of smoothness in Lp-norm
for convex functions of higher order, Serdica Bulg. Math. Publ.,
18(1992), 232-239. (MR 95d:41048).
35.Approximation of continuous functions by monotonous sequences of
generalized polynomials with restricted coe¯cients, Publ. Inst. Math.
(Beograd), 52(66)(1992), 61-66. (MR 95f:41008).
36.Concave moduli of continuity and approximation of monotone con-
vex derivatives by derivatives of Bernstein polynomials, Mathematica
(Cluj), 35(58)(1993), 232-239. (MR 95e:41011).
37.Remark on the degree of approximation of continuous functions by
singular integrals, Mathematische Nachrichthen, 164(1993), 197-199.
(MR 95b:41029).
38.Calculus of the moduli of continuity in some subclasses of piecewise
monotone and convex functions and applications, Mathematica (Cluj),
35(58)(1993), 147-154. (MR 96a:41032).
39.Calculus of higher Lp-modulus of smoothness for convex functions of
higher order and applications, BAM 914(1993), vol. LXVIII, 169-178.
6

40.Calculus of some moduli of continuity and applications, "Babes-Bolyai"
University, Research Seminars, Seminar on Mathematical Analysis,
Preprint No. 7, 1993, 47-56. (MR 96c:41053).
41.On interpolation and approximation by monotone sequences of poly-
nomials with monotone derivatives, Anal. Univ. Oradea, fasc. mat.,
3(1993), 23-25.
42.Jackson type estimates in the approximation of random functions by
random polynomials, Rendiconti de Matematica (Roma), ser. VII,
14(1994), 543-556. (MR 95k:41012).
43.A fuzzy variant of the Weierstrass approximation theorem, J. Fuzzy
Math., vol. 1, No. 4(1993), 865-872. (MR 94i:46107).
44.Hausdor® distances between fuzzy sets, J. Fuzzy Math.,vol. 2, No. 3
(1994), 623-634. (Zentr. fur Mat. ZM:818.54006).
45.Degree of approximation of fuzzy mappings by fuzzy polynomials, J.
Fuzzy Math., vol. 2(1994), 847-853. (MR 95m:41036).
46.On the order of best approximation in some subclasses of functions,
"Babes-Bolyai" University, Research Seminars, Seminar on Mathemat-
ical Analysis, Preprint No. 7, 1994, 5-13. (Zentr. fur Mat.: 980.00721).
47.On a new property of DeVore-Leviatan polynomials in monotone and
convex approximation, Anal. Univ. Oradea, 4(1994), 14-18.
48.Estimates in terms of Ditzian-Totik modulus in approximation of con-
tinuously di®erentiable functions by some positive linear operators,
Proceeding First Internat. Romai Conf., Oradea, 1994, p. 216-223.
49.(cu V. Berinde) Elementary problems regarding the polynomial approx-
imation of continuous functions(in Romanian), Seminar on Mathemat-
ical Creativity, University of Baia-Mare, Department of Mathematics,
vol. 3(1993-1994), 1-22.
50.On the Kurzweill-Henstock integral in probability, St. Cerc. Mat.
(Bucharest), tom 47, 3-4(1995), 263-269. (Zentr. fur Mat.: 851.60050),
(MR 99m:26014).
7

51.Fuzzy variant of the Stone-Weierstrass approximation theorem, Math-
ematica (Cluj), 37(60), Nr. 1-2(1995), 103-108. (Zentr. fur Mat.:
970.66243),(MR 99d:46102).
52.Approximate selections for fuzzy set valued mappings and applications,
J. Fuzzy Math., vol. 3, No. 4(1995), 941-947. (MR 96j:54011).
53.Properties of the modulus of continuity for monotone convex functions
and applications, Intern. J. Math. and Math. Sciences, 18(1995), No.
3, 443-446. (MR 96a:41022).
54.On some metric concepts for fuzzy sets, J. Fuzzy Math., vol. 3, No.
3(1995), 645-657. (Zentr. fur Mat.: 890.54007).
55.Remarks on a paper of O. Olteanu, St. Cerc. Mat. (Bucharest), tom
48(1-2)(1996), 29-30. (Zentr. fur Mat.: 960.38246).
56.On Jackson's and Timan's estimates in the approximation of random
functions by random polynomials, Proceed. of ICAOR, vol. II, Tran-
silvania Press, Cluj-Napoca, 1997, p. 101-106. (MR 98g:41002).
57.On the exact order of approximation by Bernstein polynomials in some
subclasses of functions, Anal. Univ. Oradea, fasc. mat., (5-6) (1995-
1996), 82-85. (Zentr. fur Mat. 980.07687).
58.On the su±cient conditions of monogeneity for functions of complex
type variable, Rev. Union. Mat. Argentina, 40(1996), 33-42. (MR
98d:30060).
59.Interpolation of fuzzy mappings, Mathematica (Cluj), 38(61), No. 1-2
(1996), 61-65. (MR 98m:41004).
60.Approximation of continuously Gateaux derivable functionals by Markov
operators, L'Anal. Numer. Theor. Approx. (Cluj), 25(1996), 111-119.
(MR 98m:41035).
61.Degree of approximation of continuous functions by some singular in-
tegrals, L'Anal. Numer. Theor. Approx. (Cluj), 27(1998), No. 2,
251-261.(MR 2001k:41023)
8

62.Approximation and interpolation of functions of hyperbolic-complex
variable, Rev. Union Mat. Argentina, 40(3-4)(1997), 25-35. (MR
99g:41028).
63.Measures of noncompactness for fuzzy sets, J. Fuzzy Math., vol. 5, No.
2(1997), 309-320. (Zentr. fur Mat. 890.54006).
64.(cu A. Villena) Random condensation of singularities and applications,
Random Operators and Stochastic Equations, vol. 5, No. 3 (1997),
263-268. (MR 98k:46127).
65.(cu J. Szabados) On the preservation of global smoothness by some
interpolation operators, Studia Sci. Math. Hung., 35(1999), 397-414.
(MR 2001e:41009)
66.(cu A.I. Ban) Measures of noncompactness in fuzzy topological spaces,
Fuzzy Sets and Systems, vol. 109(2000), 205-216.
67.(cu P. Fjelstad) n-dimensional hyperbolic complex numbers, Adv. Appl.
Cli®ord Alg., vol. 8, No. 1(1998), 47-68.(MR 99i:30067).
68.(cu P. Fjelstad) n-dimensional dual complex numbers, Adv. Appl.
Cli®ord Alg., vol. 8, No. 2(1998), 309-322.(MR 2000e:15024).
69.(cu P. Fjelstad) Note on monogeneity of functions of complex-type
variable, Anal. Univ. Oradea, fasc. mat., tom VI(1997-1998), 119-124.
[70.] n equivalence question between the Ditzian-Totik modulus of smooth-
ness and an usual periodic modulus of smoothness, Gen. Math. (Sibiu),
6(1998), 13-14.
71.(cu G. A. Anastassiou) Some shift invariant integral operators, univari-
ate case, revisited, J. Comput. Anal. Appl., vol. 1, No. 1(1999), 3-23.
(MR 2001a:41014)
72.(cu G. A. Anastassiou) General theory of global smoothness preserva-
tion by singular integrals, univariate case, J. Comput. Anal. Appl.,
Vol. 1, No. 3(1999), 289-317. (MR 2001d:41019)
73.(cu G. A. Anastassiou) On some shift invariant multivariate integral op-
erators, revisited, J.Communic.Appl.Analysis,5(2001), 265-275. (MR
2002d:41027)
9

74.(cu G. A. Anastassiou) Global smoothness preservation by multivariate
singular integrals, Bull. Austral. Math. Soc. 61(2000), 489-506. (MR
2001g:41033)
75.(cu G. A. Anastassiou) On some di®erentiated shift invariant integral
operators, univariate case, revisited, Adv. Nonlinear Var. Inequal.
2(2)(1999), 71-83.(MR 2000h:26020).
76.(cu G. A. Anastassiou) On some di®erentiated shift invariant integral
operators, multivariate case, revisited, Adv. Nonlinear Var. Inequal.
2(2)(1999), 97-109.(MR 2000h:26021).
77.The order of best approximation in some classes of functions, J. Com-
put. Anal. Appl., vol. 2, No. 3(2000), 34-45. (MR 2001f:41034)
78.Random path integrals, Stud. Cerc. Mat. (Bucharest), no. 4(1999),
235-247. (MR 2002d:26010)
79.Univalent functions of hyperbolic-complex and of dual-complex vari-
able, Mathematica (Cluj), 42(65)(2000), No.1, 27-36. (Zentralblatt fur
Mathematik: Zbl. 1027.30066)
80.Starlike, convex and alpha-convex functions of hyperbolic complex and
of dual complex variable, Studia Univ. Babes-Bolyai, ser. math.,
46(2001), no. 2, 23-40. (MR 2003k:30019)
81.(cu A.I. Ban) Decomposable measures and information measures for
intuitionistic fuzzy sets, Fuzzy Sets and Systems, 123(2001), 103-117.
(MR 2002e:03084)
82.Spirallike functions of hyperbolic complex and of dual complex variable,
Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 42(90), No. 4(1999),
331-339. (MR 2002j:30080)
83.(cu J. Szabados) Partial shape preserving approximation by interpo-
lation operators, in : "Functions, Series, Operators, Alexits Memorial
Conference, 1999", (L. Leidler, F. Schipp and J. Szabados eds.), J.
Bolyai Math. Society, Budapest, 2002, pp. 225-246. (MR 2004b:41016)
84.(cu A.I. Ban) On the de®ect of additivity of fuzzy measures , Fuzzy
Sets and Systems, 127(2002), 353-362. (MR 2003e:28042)
10

85.Approximation of (alpha)-holomorphic functions by areolar polynomi-
als of Bernstein type, Anal. Univ. Oradea, fasc. mat.,tom VII(1999-
2000), 95-100. (MR 2001b:30052)
86.(cu P. Mocanu) On the analytic n-starlike and n-spirallike functions,
Mathematica(Cluj), 43(66)(2001), No. 2, 203-210. (MR 2004h:30015)
87.Non-analytic n-starlike and n-spirallike functions, Studia Univ. "Babes-
Bolyai"(Cluj), ser. math.,XLIV(1999),43-48. (MR 2004e:30071)
88.(cu I. Beg) On the probabilistic domain invariance, J. Appl. Math.
Stoch. Anal., 15(2002), No. 1, 29-37. (MR 2003c:47091)
89.(cu G.A. Anastassiou) Convergence of generalized singular integrals to
the unit, univariate case, Math. Ineq. and Appl. ,vol.3, no. 4(2000),
511-518. (MR 2001i:41033)
90.(cu G.A. Anastassiou) On the convergence of generalized singular inte-
grals, RGMIA, Issue 4, vol. 3, 2000, article no. 9 (electronic journal).
91.Higher order derivative of Schwarz, Salagean and Ruscheweyh in the
geometric theory of complex functions, Rev. Roum. Math. Pures
Appl., 47(2002), No. 1, 33-42. (MR 2004c:30014)
92.Holomorphic starlike, convex and alpha-convex functions of complex-
type variable, Bull. Math. Soc Roum. Sci. Math., 44(92)(2001), No.
3, 259-270. (MR 2004j:30097)
93.(cu A.I. Ban) On the defect of orthogonality in real normed linear
spaces, Bull. Math. Soc. Roum. Sci. Math., 44(92)(2001), No. 4,
331-343. (MR 2004i:15023)
94.Nonanalytic starlike and convex functions of dual complex and of hy-
perbolic complex variable, Complex Variables, Theory and Application,
vol. 46(2001), 1-14. (MR 2002m:30062)
95.Elements of geometric theory for functions of quaternionic variable,
Adv. Appl. Cli®ord Algebras, 10(2000), 91-106. (MR 2001m:30060)
11

96.(cu G.A. Anastassiou) Nonpositive Jackson-type approximations to
de¯nite integrals, in Trends in Approximation Theory (Proceed. In-
ternat. Conf. Approx., K. Kopotun et al. eds.), Vanderbild Univer-
sity Press, Nashville, TN, 2001, pp. 11-17, ISBN 0-8265-1379-4. (MR
2004b:41031)
97.(cu G.A. Anastassiou) Partial shape preserving approximation by bi-
variate Hermite-F¶ ejer polynomials, Comp. and Math. with Appl.,
42(2001), 57-64. (MR 2002c:41027)
98.(cu G.A. Anastassiou) Partial shape-preserving approximation by bi-
variate Shepard operators, Comp. and Math. with Appl., 42(2001),
47-56. (MR 2002c:41028)
99.(cu G.A. Anastassiou) On a fuzzy trigonometric approximation the-
orem of Weierstrass-type, J. Fuzzy Math., 9(2001), No. 3, 701-708.
(Zentral. fur Math.: Zbl.1004.42005)
100. (cu G.A. Anastassiou) On global smoothness preservation in complex
approximation, Ann. Polon. Math., LXXIX, 3(2002), 199-205. (MR
2003m:41026)
101. (cu A.I. Ban) On the defect of complementarity of fuzzy measures,
Fuzzy Sets and Systems, 131(2002), 365-380. (MR 2003h:28030)
102. (cu A.I. Ban) Defect of monotonicity of fuzzy measures, Anal. Univ.
Oradea, fasc. mat., 8(2001), 33-45. (MR 2002g:28020)
103. (cu A.I. Ban) On the minimal displacement of points under mappings,
Arch. Math. (Brno), 38(2002), 273-284. (MR 2003h:47096)
104. On some determinants associated to the sequences of real numbers,
Octogon Math. Mag., vol. 8, No. 2(2000), 379-381.
105. On an identity derived from interpolation theory, Octogon Math. Mag.,
vol. 8, No. 2(2000), 429-430.
106. (cu G.A. Anastassiou) Convergence of generalized singular integrals
to the unit, multivariate case, in : Applied Mathematics Reviews
(G.A. Anastassiou ed.), vol. 1, World Scienti¯c, Singapore-New Jersey-
London-Hong Kong, 2000, ISBN 981-02-4339-1, pp. 1-8. (MR 2001e:42032)
12

107. (cu A.I. Ban) On the defect of equality for inequalities, Octogon Math.
Mag., 8(2001), 713-719.
108. (cu P. Fjelstad) Two-dimensional geometries, topologies, trigonome-
tries and physics generated by complex-type numbers, Adv. Appl.
Cli®ord Algebras, 11, No.1,(2001), 87-107. (MR 2003k:83009)
109. Convolution-type integral operators in complex approximation on the
unit disk, J. of Computational Methods and Function Theory 1(2001),
No. 2, 417-432. (MR 2003h:30048)
110. Necessary and su±cient conditions for univalence for holomorphic func-
tions of some hypercomplex variables, Anal.Univ. Oradea, fasc. mat.,
tome 9(2002), 33-42. (MR 2004c:30081)
111. On the lower pointwise estimate by Bernstein polynomials, in : Mathe-
matical Analysis and Approximation Theory, Proceeding of the Romanian-
German Research Seminar, ROGER, Sibiu, June 2002, (H. Gonska and
A. Lupas editors), pp. 103-108, Burg Verlag, Sibiu, 2002, ISBN 973-
85647-4-3. (Zentral. fur Math. : Zbl.1032.41017)
112. On the Beatson convolution operators in the unit disk, Journal of Anal-
ysis, 10(2002), 101-106. (Zbl.pre1995598)
113. Shape preserving bivariate polynomial approximation in C([-1,1]x[-1,1]),
Approx. Theor. and Its Appl., vol. 18(2002), no. 1, 26-33. (MR
2003c:41024)
114. Jackson-type estimate in monotone approximation by bivariate poly-
nomials, J. of Concrete and Applicable Mathematics, vol. 1, No. 1
(2003), 63-74. (MR 2006e:41008)
115. (cu B. Bede) Quadrature rules for integrals of fuzzy-number-valued
functions, Fuzzy Sets and Systems, 145(2004), No. 3, 359-380. (MR
2005f:65033)
116. (cu B. Bede) Fuzzy-number-valued almost periodic functions, Fuzzy
Sets and Systems, vol. 147(2004), no. 3, 384-403. (MR 2006a:26051)
117. (cu B. Bede) Best approximation and Jackson-type estimates by gen-
eralized fuzzy polynomials, J. Concr. Appl. Math., vol. 2(2004), No.
3, 213-232 (MR 2006k : 41052, Zbl. pre05038947).
13

118. (cu J. Szabados) Global smoothness preservation by bivariate interpo-
lation operators, Anal. Theory Appl., no. 3, 19(2003), 193-208. (MR
2004m:41009)
119. (cu A.I. Ban) On some pointwise defects of properties in Real Anal-
ysis, Real Analysis Exchange, vol. 29(1), 2003/2004, 1-23. (MR
2005f:26006)
120. (cu C.S. Gal) Shape preserving multivariate polynomial approximation
inC([¡1;1]m); m¸2, Intern. J. of Math. and Math. Sci., 7(2004),
325-333. (MR 2005i:41006)
121. (cu B. Bede) Generalizations of di®erentiability for fuzzy-number-valued
functions and applications to fuzzy di®erential equations, Fuzzy Sets
and Systems, 151(2005),No. 3, 581-599. (MR 2005i:34013)
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123. (cu G.M. N'Guerekata) Almost automorphic fuzzy-number-valued func-
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126. Tchebyche® orthogonal expansions for vector-valued functions, Anal.
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127(cu C.S. Gal si G.M. N'guerekata) Almost automorphic functions in
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128(cu G.A. Anastassiou) Shape preserving approximation in vector or-
dered spaces, Applied Mathematics Letters, 18(2005), No. 2, 1408-
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129(cu C.S. Gal) Semigroups of operators on spaces of fuzzy-number-
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130(cu C.S. Gal) Laplace, Fourier and Mellin integral transforms of dual
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131(cu B. Bede si I.J. Rudas) Almost periodic solutions of fuzzy di®er-
ential equations, Proceedings Internat. Sympos. on Computational
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132(cu G.A. Anastassiou) Geometric and approximation properties of a
complex Post-Widder operator in the unit disk, Applied Mathematics
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133(cu G.A, Anastassiou) Geometric and approximation properties of gen-
eralized singular integrals in the unit disk, J. Korean Math. Soc.,
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134(cu G.A. Anastassiou) On fuzzy trigonometric Korovkin theory, Non-
lin. Funct. Analysis and Appl., 11(2006), No. 3, 385-395. (MR
2007k:41057)
135(cu C.S. Gal si G.M. N'guerekata) Almost automorphic groups and
semigroups in Frechet spaces, Communic. in Math. Analysis, vol. 1
(2006), No. 1.(MR 2007g:47063)
136(cu G.A. Anastassiou) Approximation of vector-valued functions by
polynomials with coe±cients in normed spaces and applications, Demon-
stratio Mathem., vol. 39(2006), No. 3, 539-552. (MR 2007e:41035)
137(cu G.A. Anastassiou) Geometric and approximation properties of some
rotation-invariant integral operators in the unit disk, J. Comp. Anal.
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15

138(cu G.A. Anastassiou) Geometric and approximation properties of some
singular integrals in the unit disk, J. Ineq. Appl., vol. 2006, Article ID
17231, 19 pages, 2006. (MR 2007d:42018)
139Bivariate copositive approximation, J. Math. Anal. Approx. Theory,
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140Uniform approximation by bivariate polynomials preserving convexity,
in : Proc. Int. Conf. Numer. Anal. and Approx. Theory, NAAT
2006, July 5-8, 2006 , Cluj-Napoca, Romania, pp. 205-220. (MR
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141(cu C.S. Gal si G.M. N'guerekata) Existence and uniqueness of almost
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tions, Trends in African diaspora math. research, Nova Sci. Publ.,
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142Bernstein-Markov inequalities for bivariate convex functions of higher
order, Anal. Univ. Oradea, fasc. mat., 14(2007), 123-132. (MR
2008g:41019).
143(cu G.M. N'guerekata) Almost periodic functions with values in p-
Fr¶ echet spaces, 0 < p < 1, Global J. Pure Appl. Math., 3(2007),
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144(cu J.A. Goldstein) Semigroups of linear operators on p-Frechet spaces,
0< p < 1, Acta Math. Hungarica, 114(2007), No. 1-2, 13-36. (MR
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145(cu G.A. Anastassiou) On the best approximation of vector valued
functions by polynomials with coe±cients in vector spaces, Annali di
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146Kurepa's function in some hypercomplex variables, Proc. Int. Conf.,
on Fundamental Sciences, ICFS 2007, Applied Mathematics and Com-
puter Science Section, 2007, pp. 51-57.
147On some limits and series arising from semigroup theory, General Math-
ematics, vol. 15(2007), No. 1, 35-40. (MR 2365425)
16

148Approximation and geometric properties of some complex Bernstein-
Stancu polynomials in compact disks, Rev. d'Anal. Num¶ er. Th¶ eor.
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149(cu G.A. Anastassiou) Geometric and approximation properties of some
complex Sikkema and spline operators in the unit disk, J. Concr. Ap-
plic. Math., 6(2008), 177-188.
150(cu A. Aral) q-generalizations of the Picard and Gauss-Weierstrass sin-
gular integrals, Taiwanese J. Math., 12(2008), no. 9, 2501-2515.
151Approximation and geometric properties of some nonlinear complex
integral convolution operators, Integral Transforms and Special Func-
tions, 19(2008), No. 5, 367-375.
152Shape preserving approximation by complex polynomials in the unit
disk, Bull. Inst. Math. Acad. Sinica, New Series, 3(2008), No. 2,
323-338.
153Voronovskaja's theorem and iterations for complex Bernstein polyno-
mials in compact disks, Mediterranean J. of Mathematics, 5(2008),
no.3, 253-272.
154Approximation and geometric properties of complex Favard-Sz¶ asz-Mirakjan
operators in compact disks, Computers and Mathematics with Appli-
cations, 56(2008), 1121-1127.
155(cu C. Gal si J.A. Goldstein) Evolution equations with real time vari-
able and complex spatial variables, Complex Variables and Elliptic
Equations, 53(2008), No. 8, 753-774.
156(cu C.S. Gal si G.M. N'guerekata) Almost automorphic functions with
values in p-Fr¶ echet spaces, 0 < p < 1, Electr. J. Di®. Eq., 2008, No.
21, 18 pp. (MR 2383385, Zbl 1052.41502)
157Exact orders in simultaneous approximation by complex Bernstein-
Stancu polynomials, Rev. d'Anal. Num¶ er. Th¶ eor. Approx. (Cluj),
37(2008), No. 1, 47-52.
158Approximation by complex Bernstein-Kantorovich and Stancu-Kantorovich
polynomials and their iterates i in compact disks, Rev. d'Anal. Num¶ er.
Th¶ eor. Approx. (Cluj), 37(2008), No. 2, 159-168.
17

159Voronovskaja's theorem and the exact degree of approximation for the
derivatives of complex Riesz-Zygmund means, General Mathematics
(Sibiu), 16(2008), no. 4, 61-71.
160Approximation by complex Bernstein-Stancu polynomials in compact
disks, Results in Mathematics, 53(2009), No. 3-4, July, 245-256.
161Generalized Voronovskaja's theorem and approximation by Butzer's
linear combinations of complex Bernstein polynomials in compact disks,
Results in Mathematics, 53(2009), No. 3-4, July, 257-268.
162(cu G.A. Anastassiou) Approximation by complex Bernstein-Schurer
and Kantorovich-Schurer polynomials in compact disks, Computers and
Mathematics with Applications, 58(2009), No. 4, August, 734-743.
163Exact orders in simultaneous approximation by complex Bernstein poly-
nomials, J. Concrete Applic. Math., 7(2009), no. 3, 215-220.
164Linear continuous functionals on FN-type spaces, J. Fuzzy Mathemat-
ics, vol. 17(2009), No. 3, 535-553.
165Remarks on the strong approximation by Taylor series in the unit disk,
Anal. Univ. Oradea, fasc. math., 16(2009), 229-232.
166(cu V. Gupta) Approximation of vector-valued functions by q-Durrmeyer
operators with applications to random and fuzzy approximation, Anal.
Univ. Oradea, fasc. math., 16(2009), 233-240.
167(cu G.A. Anastassiou) Quantitative estimates in the overconvergence
of Chebyshev and Legendre orthogonal expansions on [-1,1], Nonlinear
Studies, 17(2010), no. 2, 139{149.
168(cu G.A. Anastassiou) Quantitative estimates in the overconvergence of
some singular integrals, Communications in Applied Analysis, 14(2010),
No. 1, 13-20.
169(cu Ciprian Gal si Jerome Goldstein) Higher order heat and Laplace
type equations with real time variable and complex spatial variable,
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18

170(cu B. Bede) Approximation by nonlinear Bernstein and Favard-Sz¶ asz-
Mirakjan operators of max-product kind, J. Concrete and Applicable
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171(cu G.A. Anastassiou si M. Ganzburg) A note on shape preserving
weighted uniform approximation, Journal of Computational Analysis
and Applications, vol. 12(2010), No. 1-B, 263-267.
172Voronovskaja's theorem, shape preserving properties and iterations for
complex q-Bernstein polynomials, Studia Sci. Math. Hungar., vol.
48(2011), No. 1, 23-43.
173(cu G.A. Anastassiou si L. Coroianu) Approximation by a nonlinear
Cardaliaguet-Euvrard neural network operator of max-product kind,
Journal of Computational Analysis and Applications, vol. 12(2010),
No. 2, 396-406.
174(cu B. Bede si L. Coroianu) Approximation and shape preserving prop-
erties of the Bernstein operator of max-product kind, Intern. J. Math.
and Math. Sci., volume 2009, Article ID 590589, 26 pages, doi:10.1155/2009/590589
175(cu B. Bede si L. Coroianu) Approximation and shape preserving prop-
erties of the nonlinear Baskakov operator of max-product kind, Studia
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176(cu R. Greiner) Convolution polynomials through Beatson kernels in
the unit disk, Anal. Univ. Oradea, fasc. math., XVII (2010), No. 2,
213-217.
177Approximation by complex Bernstein-Durrmeyer polynomials with Ja-
cobi weights in compact disks, Mathematica Balkanica (N.S.), 24(2010),
no. 1-2, 103{119.
178Remarks on the generation of semigroups of nonlinear operators on
p-Fr¶ echet spaces, 0 < p < 1, CUBO Math. J., 13(2011), No. 2, 37-57.
179(cu G.A. Anastassiou) Approximation by complex Bernstein- Durrmeyer
polynomials in compact disks, Mediterr. J. Math., 7(2010), No. 4, 471-
482.
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180(cu B. Bede si L. Coroianu) Approximation by truncated Favard-Sz¶ asz-
Mirakjan operator of max-product kind, Demonstratio Mathematica,
vol. XLIV(2011), No. 1, 105-122.
181(cu B. Bede si L. Coroianu) Approximation and shape preserving prop-
erties of the nonlinear Bleimann-Butzer-Hahn operators of max-product
kind, Comment. Math. Univ. Carol., 51(2010), No. 3, 397-415.
182(cu B. Bede si L. Coroianu) Approximation and shape preserving prop-
erties of the nonlinear Meyer-KÄ onig and Zeller operator of max-product
kind, Numerical Functional Analysis and Optimization, 31(3)(2010),
232-253.
183(cu L. Coroianu) Approximation by nonlinear Lagrange interpolation
operators of max-product kind on Chebyshev knots of second kind, J.
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184(cu L. Coroianu) Approximation by Nonlinear Hermite-Fej¶ er Interpola-
tion operators of max-product kind on Chebyshev nodes, Rev. d'Anal.
Num¶ er. Th¶ eor. Approx. (Cluj), 39(2010), No. 1, 21-31.
185(cu Ciprian Gal si Jerome Goldstein) Wave and telegraph equations
with real time variable and complex spatial variables, Complex Vari-
ables and Elliptic Equations, pp. 1-19, DOI: 10.1080/17476931003786683,
online access.
186(cu L. Coroianu) Approximation by nonlinear generalized sampling op-
erators of max-product kind, Sampling Theory in Signal and Image
Processing , vol. 9(2010), No. 1-3, 59-75.
187(cu B. Bede) Solutions of fuzzy di®erential equations based on gener-
alized di®erentiability, Commun. Math. Analysis, vol. 9(2010), No. 2,
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188(cu B. Bede si L. Coroianu) Approximation and shape preserving prop-
erties of the nonlinear Favard-Sz¶ asz-Mirakjan operators of max-product
kind, Filomat, vol. 24(2010), No. 3, 55-72.
189Approximation by complex genuine Durrmeyer type polynomials in
compact disks, Appl. Math. Comput., 217(2010), 1913-1920.
20

190Approximation of analytic functions without exponential growth con-
ditions by complex Favard-Sz¶ asz-Mirakjan operators, Rendiconti del
Circolo Matematico di Palermo, 59(2010), No. 3, 367-376.
191Approximation by complex Lorentz polynomials, Mathematical Com-
munications, 16(2011), 67{75.
192(cu G. A. Anastassiou) Quantitative estimates in the overconvergence
of some multivariate singular integrals, Journal of Applied Functional
Analysis (acceptata pentru publicare).
193(cu G. A. Anastassiou) Approximation properties of some multivariate
generalized singular integrals in the unit polydisk, J. Comp. Anal.
Appl., vol. 13(2011), no. 1, 11-19.
194(cu G. A. Anastassiou) Approximation properties of some multicomplex
singular integrals in the unit polydisk, J. Comp. Anal. Appl., vol.
13(2011), no. 1, 127-156.
195(cu G.A. Anastassiou) Quantitative estimates in the overconvergence
of some generalized singular integrals, Mathematics in Engineering,
Science and Aerospace (MESA), 2(2011), No. 2, 105-113.
196Approximation by complex potentials generated by the Gamma func-
tion, Turkish J. Math., 35(2011), 1-14.
197(cu B. Bede si L. Cooroianu) Approximation and shape preserving
properties of the truncated Baskakov operator of max-product kind,
Revista de la Uni¶ on Matem¶ atica Argentina, 52(2011), No. 1, 89-107.
198Approximation by complex potentials generated by the Euler's Beta
function, European Journal of Pure and Applied Mathematics, Vol.
3(2010), No. 6, 1150-1164.
199(cu L. Coroianu) Classes of functions with improved estimates in ap-
proximation by the max-product Bernstein operator, Analysis and Ap-
plications, vol. 9(2011), Issue No. 3, 249-274.
200(cu G.A. Anastassiou) Quantitative estimates in the overconvergence of
some complex multivariate generalized singular integrals in polystrips,
J. Comp. Anal. Appl., vol. 13(2011), no. 1, 84-97.
21

201(cu L. Coroianu) Global smoothness preservation by some nonlinear
max-product operators, Matematicki Vesnik, (acceptata pentru publi-
care).
202Approximation in compact sets by q-Stancu-Faber polynomials, q >1,
Comp. Math. Appl. 61(2011), Issue 10, 3003-3009.
203(cu L. Coroianu) Approximation by max-product Lagrange interpola-
tion operators, Studia Univ. Babes-Bolyai, Math., 56(2011), No. 2,
315-325.
204Approximation by max-product type nonlinear operators, Studia Univ.
Babes-Bolyai, Math., 56(2011), No. 2, 341-352.
205(cu V. Gupta) Approximation by a Durrmeyer-type operator in com-
pact disks, Annali dell'Universita di Ferrara, acceptata pentru publi-
care, DOI: 10.1007/s11565-011-0124-6, online access.
206(cu L. Coroianu) Approximation by max-product sampling operators
based on sinc-type kernels, Sampling Theory in Signal and Image Pro-
cessing, 10(3)(2011), 211-230.
207Di®erentiated Generalized Voronovskajas Theorem in Compact Disks,
Results in Mathematics (10 March 2011), DOI: 10.1007/s00025-011-
0121-1, online access.
208(cu C.S. Gal si J.A. Goldstein) Schrodinger type equations with real
time variable and complex spatial variables, Complex Variables and
Elliptic Equations, DOI: 10.1080/17476933.2011.593097, online access.
209(cu B. Bede and L. Stefanini) Solutions of fuzzy di®erential equations
with L-R fuzzy numbers, in : Soft Computing Applications, SOFA,
2010, 197-202.
210(cu V. Gupta) Approximation by certain integrated Bernstein-type op-
erators in compact disks, Lobachevski Journal of Mathematics, accep-
tata pentru publicare.
211(cu V. Gupta) Approximation by complex Beta operators of ¯rst kind in
strips of compact disks, Mediterranean Journal of Mathematics, DOI:
10.1007/s00009-011-0164-2, online access.
22

212(cu V. Gupta) Quantitative estimates for a new complex Durrmeyer
operator in compact disks, Applied Mathematics and Computation,
Volume 218, Issue 6, 15 November 2011, Pages 2944-2951.
213Approximation by quaternion q-Bernstein polynomials, q > 1, Ad-
vances in Applied Cli®ord Algebras, DOI: 10.1007/s00006-011-0310-8,
online access.
214(cu G. Tachev) On the constant in the lower estimate for the Bernstein
operator, Mathematica Balkanica, acceptata pentru publicare.
215Voronovskaja-type results in compact disks for quaternion q-Bernstein
operators, q¸1, Complex Analysis and Operator Theory,
DOI : 10.1007/s11785-011-0213-7, online access.
216(cu V. Gupta, D. K. Verma si P. N. Agrawal) Approximation by com-
plex Baskakov-Stancu operators in compact disks, Rendiconti del Cir-
colo Matematico di Palermo, acceptata pentru publicare.
217(cu V. Gupta si N. Mahmudov) Approximation by a complex q-Durrmeyer
type operator, Annali dell'Universita di Ferrara, acceptata pentru pub-
licare.
9.01.2012
23