Tauberian Remainder Theorems for the Weighted Mean Method of Summability

Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].

Bibliographic Details
Main Authors:	Sefa Anil Sezer, Ibrahim Canak
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2014-04-01
Series:	Mathematical Modelling and Analysis
Subjects:	weighted general control modulo Tauberian remainder theorem weighted mean method λ-bounded sequence
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/3288

id	doaj-69a84de927ef4f0a8622a319a86adb04
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spelling	doaj-69a84de927ef4f0a8622a319a86adb042021-07-02T11:59:58ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102014-04-0119210.3846/13926292.2014.910280Tauberian Remainder Theorems for the Weighted Mean Method of SummabilitySefa Anil Sezer0Ibrahim Canak1Department of Mathematics, Ege University 35100 _Izmir, Turkey; Department of Mathematics, Istanbul Medeniyet University 34720 _Istanbul, TurkeyDepartment of Mathematics, Ege University 35100 Izmir, Turkey Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102]. https://journals.vgtu.lt/index.php/MMA/article/view/3288weighted general control moduloTauberian remainder theoremweighted mean methodλ-bounded sequence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sefa Anil Sezer Ibrahim Canak
spellingShingle	Sefa Anil Sezer Ibrahim Canak Tauberian Remainder Theorems for the Weighted Mean Method of Summability Mathematical Modelling and Analysis weighted general control modulo Tauberian remainder theorem weighted mean method λ-bounded sequence
author_facet	Sefa Anil Sezer Ibrahim Canak
author_sort	Sefa Anil Sezer
title	Tauberian Remainder Theorems for the Weighted Mean Method of Summability
title_short	Tauberian Remainder Theorems for the Weighted Mean Method of Summability
title_full	Tauberian Remainder Theorems for the Weighted Mean Method of Summability
title_fullStr	Tauberian Remainder Theorems for the Weighted Mean Method of Summability
title_full_unstemmed	Tauberian Remainder Theorems for the Weighted Mean Method of Summability
title_sort	tauberian remainder theorems for the weighted mean method of summability
publisher	Vilnius Gediminas Technical University
series	Mathematical Modelling and Analysis
issn	1392-6292 1648-3510
publishDate	2014-04-01
description	Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
topic	weighted general control modulo Tauberian remainder theorem weighted mean method λ-bounded sequence
url	https://journals.vgtu.lt/index.php/MMA/article/view/3288
work_keys_str_mv	AT sefaanilsezer tauberianremaindertheoremsfortheweightedmeanmethodofsummability AT ibrahimcanak tauberianremaindertheoremsfortheweightedmeanmethodofsummability
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Tauberian Remainder Theorems for the Weighted Mean Method of Summability

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