On the points of strong summabiity of the Fourier series

The points of a function f ∈ L at which there are given estimates of the rate of convergence to zero of the strong arithmetic means of its Fourier series and the trigonometrically conjugate series are characterized.

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Datum:1992
Hauptverfasser: Gabisoniya , O. D., Габисония , О. Д.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8030
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:The points of a function f ∈ L at which there are given estimates of the rate of convergence to zero of the strong arithmetic means of its Fourier series and the trigonometrically conjugate series are characterized.