Generalization of Szasz operators involving Brenke type polynomials

被引：68

作者：

Varma, Serhan ^{[1
]}

Sucu, Sezgin ^{[1
]}

Icoz, Gurhan ^{[2
]}

机构：

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

[2] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 02期

关键词：

Szasz operator; Modulus of continuity; Rate of convergence; Brenke type polynomials; Gould-Hopper polynomials;

D O I：

10.1016/j.camwa.2012.01.025

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 generalization of Szasz operators defined by means of the Brenke type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order of convergence by using a classical approach, the second modulus of continuity and Peetre's K-functional. An explicit example with our operators including Gould-Hopper polynomials which generalize Szasz operators in a natural way is given. (C) 2012 Elsevier Ltd. All rights reserved.

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页码：121 / 127

页数：7

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