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Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric

We find asymptotic equalities for upper bounds of approximations by Fourier partial sums in a uniform metric on classes of Poisson integrals of periodic functions belonging to unit balls of spaces $L_p,\quad 1 \leq p \leq \infty$. We generalize the results obtained to classes of $(\psi, \overline{\b...

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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/3666
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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