On various moduli of smoothness and $K$-functionals

UDC 517.5 In this survey paper, exact rate of approximation of functions by linear means of Fourier series and Fourier integrals and corresponding $K$-functionals are expressed via special moduli of smoothness.

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Datum:2020
Hauptverfasser: Trigub , R. M., Тригуб, Р. М.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2384
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.5 In this survey paper, exact rate of approximation of functions by linear means of Fourier series and Fourier integrals and corresponding $K$-functionals are expressed via special moduli of smoothness.
DOI:10.37863/umzh.v72i7.2384