Bezier Variant of the Szasz-Durrmeyer Type Operators Based on the Poisson-Charlier Polynomials

被引：2

作者：

Kajla, Arun ^{[1
]}

Miclaus, Dan ^{[2
]}

机构：

[1] Cent Univ Haryana, Dept Math, Jant 123031, Haryana, India

[2] Tech Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430122, Romania

来源：

FILOMAT | 2020年 / 34卷 / 10期

关键词：

Bezier curve; Szasz operator; Poisson-Charlier polynomials; rate of convergence; bounded variation; APPROXIMATION; CONVERGENCE;

D O I：

10.2298/FIL2010265K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we introduce the Bezier variant of the Szasz-Durrmeyer type operators, involving the Poisson-Charlier polynomials. Our study focuses on a direct approximation theorem in terms of the Ditzian-Totik modulus of smoothness and the rate of convergence for differential functions whose derivatives are of bounded variation.

引用

页码：3265 / 3273

页数：9

共 23 条

[1]

Abel U., 2003, DEMONSTR MATH, V36, P123, DOI DOI 10.1515/DEMA-2003-0114

[2] BLENDING TYPE APPROXIMATION BY BEZIER-SUMMATION-INTEGRAL TYPE OPERATORS [J].