The complete asymptotic expansion for a general Durrmeyer variant of the Meyer-Konig and Zeller operators

被引：6

作者：

Abel, U

Gupta, V

Ivan, M

机构：

[1] Univ Appl Sci, Fachbereich MND, Fach Hsch Giessen Friedberg, D-61169 Friedberg, Germany

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110045, India

[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 7-8期

关键词：

approximation by positive operators; rate of convergence; degree of approximation; asymptotic expansion;

D O I：

10.1016/j.mcm.2004.10.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, we consider a general Durrmeyer type of the Meyer-Konig and Zeller operators and derive the complete asymptotic expansion for these operators. Previous Durr-meyer-type variants of the Meyer-Konig and Zeller operators are covered by the present definition. (C) Elsevier Ltd. All rights reserved.

引用

页码：867 / 875

页数：9

共 21 条

[1] On the asymptotic approximation with bivariate operators of Bleimann, Butzer, and Hahn [J].