On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its fourier series

被引：15
|
作者：
Rhoades, B. E. [1 ]
Ozkoklu, Kevser [2 ]
Albayrak, Inci [2 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[2] Yildiz Tech Univ, Fac Chem & Met, Dept Engn Math, Istanbul, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 16期
关键词：
Degree of approximation; Fourier series; Hausdorff matrices;
D O I：
10.1016/j.amc.2011.01.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a recent paper Lal and Yadov [4] obtained a theorem on the degree of approximation for a function belonging to the Lipschitz class Lip alpha using the product of the Cesaro and Euler means of order one of its Fourier series. In this paper we extend this result to any regular Hausdorff matrix for the same class of functions. (C) 2011 Published by Elsevier Inc.
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页码：6868 / 6871
页数：4
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