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Abstract <p> We estimate the degree of approximation by matrix transform means of Vilenkin-Fourier series in classical Lebesgue spaces and in the space of continuous functions on special group <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12607_2025_1121_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(G\)</EquationSource> </InlineEquation> in terms of moduli of continuity. In many cases these results generalize ones obtained by I. Blahota and K. Nágy. </p>

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Approximation by General Means of Vilenkin-Fourier Series in Classical Spaces

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • N. Yu. Agafonova,
  • S. S. Volosivets

摘要

Abstract

We estimate the degree of approximation by matrix transform means of Vilenkin-Fourier series in classical Lebesgue spaces and in the space of continuous functions on special group \(G\) in terms of moduli of continuity. In many cases these results generalize ones obtained by I. Blahota and K. Nágy.