Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces L S

T. A. Stepaniuk, A. S. Serdyuk

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In metrics of the spaces L s , 1 ≤ s ≤ 1, 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 in the space L 1 .
Original languageEnglish
Pages (from-to)811-822
JournalUkrainian Mathematical Journal
Publication statusPublished - Oct 2017

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