Approximation by a Generalization of the Jakimovski-Leviatan Operators

被引：4

作者：

Ari, Didem Aydin ^{[1
]}

Serenbay, Sevilay Kirci ^{[2
]}

机构：

[1] Kirikkale Univ, Kirikkale, Turkey

[2] Harran Univ, Sanliurfa, Turkey

来源：

FILOMAT | 2019年 / 33卷 / 08期

关键词：

Jakimovski-Leviatan operator; Lipschitz class; weighted modulus of continuity; weighted spaces; rate of convergence;

D O I：

10.2298/FIL1908345A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degree of convergence are established. Furthermore, we study the convergence of these operators in a weighted space of functions on [0, infinity).

引用

页码：2345 / 2353

页数：9

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