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Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$

Asymptotic equalities are established for upper bounds of approximants by Fourier partial sums in a metric of spaces $L_p,\quad 1 \leq p \leq \infty$ on classes of the Poisson integrals of periodic functions belonging to the unit ball of the space $L_1$. The results obtained are generalized to the c...

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Datum:	2005
Hauptverfasser:	Serdyuk, A. S., Сердюк, А. С.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2005
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3693
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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