A. I. Stepanets, “Approximation by Riesz sums of periodic functions of Hölder classes”, Mat. Zametki, 21:3 (1977), 341–354; Math. Notes, 21:3 (1977), 190

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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 341–354 (Mi mzm7962)

This article is cited in 1 scientific paper (total in 1 paper)

Approximation by Riesz sums of periodic functions of Hölder classes

A. I. Stepanets

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Full-text PDF (831 kB) Citations (1)

Abstract: We have found asymptotic equalities for the least upper bounds of the deviations of Riesz sums on the Hölder classes

$W^rH_\omega$ ,

$r$ is a nonnegative integer,

$\omega(t)$ is an arbitrary convex modulus of continuity.

Received: 19.11.1973

English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 190–198
DOI: https://doi.org/10.1007/BF01106743

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: A. I. Stepanets, “Approximation by Riesz sums of periodic functions of Hölder classes”, Mat. Zametki, 21:3 (1977), 341–354; Math. Notes, 21:3 (1977), 190–198

Citation in format AMSBIB

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\by A.~I.~Stepanets

\paper Approximation by Riesz sums of periodic functions of H\"older classes

\jour Mat. Zametki

\yr 1977

\vol 21

\issue 3

\pages 341--354

\mathnet{http://mi.mathnet.ru/mzm7962}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=450872}

\zmath{https://zbmath.org/?q=an:0403.42008|0361.42009}

\transl

\jour Math. Notes

\yr 1977

\vol 21

\issue 3

\pages 190--198

\crossref{https://doi.org/10.1007/BF01106743}

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https://www.mathnet.ru/eng/mzm/v21/i3/p341

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	249
Full-text PDF :	119
First page:	1

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