Certain approximation properties of Brenke polynomials using Jakimovski-Leviatan operators

被引：10

作者：

Wani, Shahid Ahmad ^{[1
]}

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

Nisar, Kottakkaran Sooppy ^{[4
]}

机构：

[1] Univ Kashmir, Dept CSE, North Campus, Srinagar, India

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

[3] St 1 West, Aligarh 202002, Uttar Pradesh, India

[4] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawser 11991, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Szasz operators; Brenke type polynomials; Jakimovski-Leviatan operators; Modulus of continuity; Weighted space; 40A30; 41A10; 41A25; 41A36;

D O I：

10.1186/s13660-021-02639-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the approximation by Durrmeyer type Jakimovski-Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these polynomials are obtained. The order of convergence and the weighted approximation are also considered. Finally, the Voronovskaya type theorem is demonstrated for some particular case of these polynomials.

引用

页数：16

共 18 条

[1] Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus [J].