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Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$

In metrics of the spaces $L_s,\; 1 \leq s \leq \infty$, we establish asymptotic equalities for the upper bounds of approximations by Fourier sums in the classes of generalized Poisson integrals of periodic functions that belong to the unit ball of space $L_1$.

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Datum:	2017
Hauptverfasser:	Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1728
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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