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Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness

UDC 517.5 On the sets of $2\pi$-periodic functions $f$ specified by the $(\psi, \beta)$-integrals of the functions $\varphi$ from $L_{1},$ we establish Lebesgue-type inequalities in which the uniform norms of deviations of the Fourier sums are expressed via the best approximations by trigonome...

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Datum:	2023
Hauptverfasser:	Serdyuk, A., Stepaniuk, T., Сердюк, Анатолій, Степанюк, Тетяна
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2023
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/7411
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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