Approximation results for Beta Jakimovski-Leviatan type operators via q-analogue

被引：7

作者：

Nasiruzzaman, Md. ^{[1
]}

Tom, Mohammed A. O. ^{[1
]}

Serra-Capizzano, Stefano ^{[2
,3
]}

Rao, Nadeem ^{[4
]}

Ayman-Mursaleen, Mohammad ^{[5
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, POB 4279, Tabuk 71491, Saudi Arabia

[2] Univ Insubria, Dept Sci & High Technol, Via Valleggio 11, I-22100 Como, Italy

[3] Uppsala Univ, Dept Informat Technol, Div Sci Comp, Gerhyddsv 2,Hus 2,POB 337, SE-75105 Uppsala, Sweden

[4] Chandigarh Univ, Univ Ctr Res & Developement, Dept Math, Mohali 140413, Punjab, India

[5] Univ Newcastle, Sch Informat & Phys Sci, Univ Dr, Callaghan, NSW 2308, Australia

来源：

FILOMAT | 2023年 / 37卷 / 24期

关键词：

Appell polynomials; q-Appellpolynomials; Jakimovski-Leviatan operators; Korovkin's theorem; modulus of continuity; BERNSTEIN OPERATORS; CONVERGENCE; SEQUENCES; KOROVKIN;

D O I：

10.2298/FIL2324389N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a new version of q-Jakimovski-Leviatan type integral operators and show that set of all continuous functions f defined on [0, & INFIN;) are uniformly approximated by our new operators. Finally we construct the Stancu type operators and obtain approximation properties in weighted spaces. Moreover, with the aid of modulus of continuity we discuss the rate of convergence, Lipschitz type maximal approximation and some direct theorems.

引用

页码：8389 / 8404

页数：16

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