Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries

We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2 π/r-periodic functions. Moreover, as a measure of approximation r-differences of the entries are used.

Bibliographic Details
Main Authors: Łenski Włodzimierz, Szal Bogdan
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0024/dema-2018-0024.xml?format=INT
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spelling doaj-3cc8734dba7d4f6e80390e4fd2551df62020-11-25T02:23:49ZengDe GruyterDemonstratio Mathematica2391-46612018-11-0151130932210.1515/dema-2018-0024dema-2018-0024Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entriesŁenski Włodzimierz0Szal Bogdan1University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics,Zielona Góra, ul. Szafrana, PolandUniversity of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics,Zielona Góra, ul. Szafrana, PolandWe extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2 π/r-periodic functions. Moreover, as a measure of approximation r-differences of the entries are used.http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0024/dema-2018-0024.xml?format=INTrate of approximationsummability of Fourier series42A24
collection DOAJ
language English
format Article
sources DOAJ
author Łenski Włodzimierz
Szal Bogdan
spellingShingle Łenski Włodzimierz
Szal Bogdan
Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
Demonstratio Mathematica
rate of approximation
summability of Fourier series
42A24
author_facet Łenski Włodzimierz
Szal Bogdan
author_sort Łenski Włodzimierz
title Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
title_short Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
title_full Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
title_fullStr Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
title_full_unstemmed Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries
title_sort pointwise approximation of 2 π/r-periodic functions by matrix operators of their fourier series with r-differences of the entries
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2018-11-01
description We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2 π/r-periodic functions. Moreover, as a measure of approximation r-differences of the entries are used.
topic rate of approximation
summability of Fourier series
42A24
url http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0024/dema-2018-0024.xml?format=INT
work_keys_str_mv AT łenskiwłodzimierz pointwiseapproximationof2prperiodicfunctionsbymatrixoperatorsoftheirfourierserieswithrdifferencesoftheentries
AT szalbogdan pointwiseapproximationof2prperiodicfunctionsbymatrixoperatorsoftheirfourierserieswithrdifferencesoftheentries
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