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

T. A. Stepaniuk; A. S. Serdyuk

doi:10.1007/s11253-017-1397-4

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

T. A. Stepaniuk, A. S. Serdyuk

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	811-822
Journal	Ukrainian Mathematical Journal
Volume	69
DOIs	https://doi.org/10.1007/s11253-017-1397-4
Publication status	Published - Oct 2017

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10.1007/s11253-017-1397-4

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title = "Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces L S",

abstract = "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 .",

author = "Stepaniuk, {T. A.} and Serdyuk, {A. S.}",

year = "2017",

month = oct,

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journal = "Ukrainian Mathematical Journal",

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AU - Stepaniuk, T. A.

AU - Serdyuk, A. S.

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Y1 - 2017/10

N2 - 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 .

AB - 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 .

U2 - 10.1007/s11253-017-1397-4

DO - 10.1007/s11253-017-1397-4

M3 - Article

SN - 0041-5995

VL - 69

SP - 811

EP - 822

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

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