Approximation by Durrmeyer type Jakimoski-Leviatan operators

被引：19

作者：

Karaisa, Ali ^{[1
]}

机构：

[1] Necmettin Erbakan Univ, Dept Math Comp Sci, Fac Sci, Meram Campus, TR-42090 Meram, Konya, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 09期

关键词：

Durrmeyer type Jakimovski-Leviatan operators; local approximation; weighted space; Voronovskaja type theorem;

D O I：

10.1002/mma.3650

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduce the Durrmeyer type Jakimoski-Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties. Furthermore, we give a Voronovskaja type theorem for the our new operators. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：2401 / 2410

页数：10

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