A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric

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Abstract

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.

Original languageEnglish
Pages (from-to)51-60
Number of pages10
JournalAnalysis Mathematica
Volume35
Issue number1
DOIs
Publication statusPublished - Mar 2009

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ASJC Scopus subject areas

  • Mathematics(all)

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