A note on the best approximation of sine and cosine series

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Abstract

Recently we extended some interesting theorems of Konyushkov giving estimations for the best approximation by the coefficients of the Fourier series of the function in question. We replaced the monotone or quasi-monotone coefficient sequences by coefficient sequences of rest bounded variation. In this note both notions are generalized for such coefficient sequences where certain restriction is given only in terms of the "rest variation" of the sequence.

Original languageEnglish
Pages (from-to)155-161
Number of pages7
JournalAnalysis Mathematica
Volume32
Issue number2
DOIs
Publication statusPublished - Jun 2006

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ASJC Scopus subject areas

  • Mathematics(all)

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