Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus

被引：19

作者：

Alotaibi, Abdullah ^{[1
]}

Mursaleen, M. ^{[2
,3
,4
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah, Saudi Arabia

[2] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 04期

关键词：

Appell polynomials; q-Appell polynomials; Jakimovski-Levitian operators; Jakimovski-Leviatan-Beta operators; Korovkin's theorem; modulus of continuity; SZASZ-MIRAKJAN OPERATORS; DUNKL GENERALIZATION;

D O I：

10.3934/math.2020196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct Jakimovski-Leviatan-Beta type q-integral operators and show that these positive linear operators are uniformly convergent to a continuous functions. We obtain the Korovkin type results, the rate of convergence as well as some direct theorems.

引用

页码：3019 / 3034

页数：16

共 20 条

[1]

Al-Salam W.A., 1967, Ann. Mat. Pura Appl, V77, P31, DOI [10.1007/BF02416939, DOI 10.1007/BF02416939]

[2]

Appell P., 1880, ANN SCI ECOLE NORM S, V9, P119

[3] Approximation by Chlodowsky type Jakimovski-Leviatan operators [J].

Buyukyazici, Ibrahim ;

Tanberkan, Hande ;

Serenbay, Sevilay Kirci ;

Atakut, Cigdem .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 :153-163

[4]

Ciupa A., 1995, Stud. Univ. Babes-Bolyai, Math., V40, P39

[5]

De Sole A., 2005, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., V16, P11

[6]

GADZHIEV AD, 1974, DOKL AKAD NAUK SSSR+, V218, P1001

[7]

Gadziev A. D., 1975, I FIZ TEHN MAT NAUK, V5, P41

[8]

Ibikli E., 1995, Turk. J. Math., V19, P331, DOI [10.1137/0709026, DOI 10.1137/0709026]

[9] Approximation by modified Szasz-Mirakjan operators on weighted spaces [J].

Ispir, N ;

Atakut, Ç .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2002, 112 (04) :571-578

[10]

Jackson F.H., 1910, Q J PURE APPL MATH, V41, P193, DOI DOI 10.1017/S0080456800002751

← 1 2 →