Stečkin inequalities for summability methods

Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.

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Main Author: Jia-Ding Cao
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000136
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author Jia-Ding Cao
author_facet Jia-Ding Cao
author_sort Jia-Ding Cao
collection DOAJ
description Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.
format Article
id doaj-art-b9088c70d9fd42d6987a53aef1ed6666
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1997-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b9088c70d9fd42d6987a53aef1ed66662025-02-03T06:01:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-012019310010.1155/S0161171297000136Stečkin inequalities for summability methodsJia-Ding Cao0Department of Mathematics, Fudan University, Shanghai 200433, ChinaStečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.http://dx.doi.org/10.1155/S0161171297000136Stečkin inequalityM. F Timan inequalityZygmund typical means various summability methods.
spellingShingle Jia-Ding Cao
Stečkin inequalities for summability methods
International Journal of Mathematics and Mathematical Sciences
Stečkin inequality
M. F Timan inequality
Zygmund typical means
various summability methods.
title Stečkin inequalities for summability methods
title_full Stečkin inequalities for summability methods
title_fullStr Stečkin inequalities for summability methods
title_full_unstemmed Stečkin inequalities for summability methods
title_short Stečkin inequalities for summability methods
title_sort steckin inequalities for summability methods
topic Stečkin inequality
M. F Timan inequality
Zygmund typical means
various summability methods.
url http://dx.doi.org/10.1155/S0161171297000136
work_keys_str_mv AT jiadingcao steckininequalitiesforsummabilitymethods