A Voronovskaya Type Theorem for Poisson-Cauchy Type singular operators

被引：6

作者：

Anastassiou, George A. ^{[1
]}

Mezei, Razvan A. ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 02期

关键词：

Smooth Poisson-Cauchy Type singular integral; Voronovskaya Type Theorem; Rate of convergence; UNIFORM-CONVERGENCE; RATES;

D O I：

10.1016/j.jmaa.2010.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we continue with the study of approximation properties of smooth Poisson-Cauchy Type singular integral operators over the real line. We produce Voronovskaya Type results and give some quantitative results regarding the rate of convergence of these singular integral operators. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：525 / 529

页数：5

共 15 条

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Mezei, Razvan A.
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Anastassiou, George A.
Mezei, Razvan A.
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