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Sbornik: Mathematics, 2001, Volume 192, Issue 1, Pages 113–139
DOI: https://doi.org/10.1070/sm2001v192n01ABEH000538 (Mi sm538) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Solution of the Kolmogorov–Nikol'skii problem for the Poisson integrals of continuous functions

A. I. Stepanets

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (653 kB) Citations (14) Russian version article
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DOI: https://doi.org/10.1070/sm2001v192n01ABEH000538
Abstract: Asymptotic equalities are obtained for upper bounds of the deviations of Fourier sums in the classes of convolutions of Poisson kernels and continuous functions with moduli of continuity not exceeding fixed majorants.
Received: 11.01.2000
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A10; Secondary 42A85
Language: English
Original paper language: Russian
Citation: A. I. Stepanets, “Solution of the Kolmogorov–Nikol'skii problem for the Poisson integrals of continuous functions”, Sb. Math., 192:1 (2001), 113–139
Citation in format AMSBIB
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\paper Solution of the Kolmogorov--Nikol'skii problem for the~Poisson integrals of continuous functions
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\issue 1
\pages 113--139
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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