Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators

J. Prestin; V. V. Savchuk; A. L. Shidlich

doi:10.1007/s11253-017-1394-7

Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators

J. Prestin^*, V. V. Savchuk, A. L. Shidlich

^*Corresponding author for this work

Institute of Mathematics

Ukrainian National Academy of Sciences

Abstract

We prove direct and inverse theorems on the approximation of 2π -periodic functions by Taylor–Abel–Poisson operators in the integral metric.

Original language	English
Journal	Ukrainian Mathematical Journal
Volume	69
Issue number	5
Pages (from-to)	766-781
Number of pages	16
ISSN	0041-5995
DOIs	https://doi.org/10.1007/s11253-017-1394-7
Publication status	Published - 01.10.2017

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title = "Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators",

abstract = "We prove direct and inverse theorems on the approximation of 2π -periodic functions by Taylor–Abel–Poisson operators in the integral metric.",

author = "J. Prestin and Savchuk, {V. V.} and Shidlich, {A. L.}",

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AU - Prestin, J.

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AU - Shidlich, A. L.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We prove direct and inverse theorems on the approximation of 2π -periodic functions by Taylor–Abel–Poisson operators in the integral metric.

AB - We prove direct and inverse theorems on the approximation of 2π -periodic functions by Taylor–Abel–Poisson operators in the integral metric.

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DO - 10.1007/s11253-017-1394-7

M3 - Journal articles

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SN - 0041-5995

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EP - 781

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

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Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators

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