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

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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 .

Originalsprache	englisch
Seiten (von - bis)	811-822
Fachzeitschrift	Ukrainian Mathematical Journal
Jahrgang	69
DOIs	https://doi.org/10.1007/s11253-017-1397-4
Publikationsstatus	Veröffentlicht - Okt. 2017

Zugriff auf Dokument

10.1007/s11253-017-1397-4

Dieses zitieren

@article{0f89e724186044e0b1611cca2423a86d,

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,

doi = "10.1007/s11253-017-1397-4",

language = "English",

volume = "69",

pages = "811--822",

journal = "Ukrainian Mathematical Journal",

issn = "0041-5995",

publisher = "Springer New York",

}

TY - JOUR

T1 - Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces L S

AU - Stepaniuk, T. A.

AU - Serdyuk, A. S.

PY - 2017/10

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

ER -

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

Abstract

Zugriff auf Dokument

Fingerprint

Dieses zitieren