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.
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2018-11-01
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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 |
_version_ |
1724857013514534912 |