Generalization of Jakimovski-Leviatan type Szasz operators

被引：11

作者：

Sucu, Sezgin ^{[1
]}

Varma, Serhan ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷

关键词：

Szasz operator; Modulus of continuity; Rate of convergence; Sheffer polynomials; Meixner polynomials;

D O I：

10.1016/j.amc.2015.08.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to give a Stancu type generalization of Jakimovski-Leviatan type Szasz operators defined by means of the Sheffer polynomials. We obtain convergence prop erties of our operators with the help of Korovkin theorem and the order of approximation by using classical and second modulus of continuity. Explicit examples with our operators including Meixner polynomials and the 2-orthogonal polynomials of Laguerre type are given. We present two significant numerical mathematical algorithms as examples for the error estimation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：977 / 983

页数：7

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