Szasz Type Operators Involving Charlier Polynomials and Approximation Properties

被引：20

作者：

Al-Abied, A. A. H. ^{[1
]}

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

Mursaleen, M. ^{[4
]}

机构：

[1] Dhamar Univ, Dept Math, Dhamar, Yemen

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

[3] Univ Putra Malaysia, Fac Sci, Dept Math & Stat, Serdang 43400, Selangor, Malaysia

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

来源：

FILOMAT | 2021年 / 35卷 / 15期

关键词：

Szasz operators; Charlier polynomials; Modulus of continuity; rate of convergence; Voronoskaja type theorem; VARIANT;

D O I：

10.2298/FIL2115149A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim is to define modified Szasz type operators involving Charlier polynomials and obtain some approximation properties. We prove some results on the order of convergence by using the modulus of smoothness and Peetre's K-functional. We also establish Voronoskaja type theorem for these operators. Moreover, we prove a Korovkin type approximation theorem via q-statistical convergence.

引用

页码：5149 / 5159

页数：11

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