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<p>In this paper, several results pertaining to the pointwise and normwise approximation of integrable functions by general means are presented. The pointwise estimates of the considered deviation in terms of pointwise moduli of continuity based on the Lebesgue points and points of differentiability of indefinite integral are obtained. Some earlier results are generalized and improved.</p>

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Approximation of integrable functions by product of operators

  • 期刊论文

  • 发表日期：

    2025年5月31日

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  • Xhevat Z. Krasniqi,
  • W.łodzimierz Łenski,
  • Bogdan Szal

摘要

In this paper, several results pertaining to the pointwise and normwise approximation of integrable functions by general means are presented. The pointwise estimates of the considered deviation in terms of pointwise moduli of continuity based on the Lebesgue points and points of differentiability of indefinite integral are obtained. Some earlier results are generalized and improved.