A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metricУпрощеннаь оценка порядка приближения суммами Фурье в обобщенной метрике Гельдера

被引：0

作者：

L. Leindler

机构：

[1] University of Szeged,Bolyai Institute

来源：

Analysis Mathematica | 2009年 / 35卷

关键词：

Fourier Series; Classical Class; Trigonometric Approximation; Approximation Degree; Classical Means;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of the paper is to give a relaxed estimate pertaining to the degree of approximation of the partial sums of Fourier series in a new Banach space of functions introduced by Das, Nath and Ray [2]. Furthermore, applying our new result, we verify, under certain natural conditions, that some classical means have the same approximation degree as the partial sums.

引用

页码：51 / 60

页数：9

共 6 条

[1]

Chandra P.(2002)Trigonometric approximation of functions in J. Math. Anal. Appl. 275 13-26

[2]

Lebesgue H.(1910)-norm Bull. Soc. Math. France 38 184-210

[3]

Leindler L.(1979)Sur la représentation trigonométrique approachée des fonctions satisfaisant à une condition de Lipschitz Studia Sci. Math. Hungar. 14 431-439

[4]

Leindler L.(2005)Generalization of Prössdorf’s theorems J. Math. Anal. Appl. 302 129-136

[5]

Prössdorf S.(1975)Trigonometric approximation in Math. Nachr. 69 7-14

[6]

Quade E. S.(1937)-norm Duke Math. J. 3 529-543

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