Uniform approximation of some classes of linear positive operators expressed by series

被引：3

作者：

Agratini, Octavian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 08期

关键词：

41A35; 26D15; modulus of smoothness; Baskakov operator; Poisson distribution; Jain operator; Szasz operator; Bohman-Korovkin theorem; Mastroianni operator;

D O I：

10.1080/00036811.2014.940919

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with a general class of linear positive approximation processes designed using series. For continuous and bounded functions defined on unbounded interval we give rate of convergence in terms of the usual modulus of smoothness. The main goal is to identify functions for which these operators provide uniform approximation over unbounded intervals. Particular cases are delivered.

引用

页码：1662 / 1669

页数：8

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