Weighted almost convergence and related infinite matrices

The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm [Formula: see text] is a BK-space. We also define the notions of weighted almost conservative and regular matrices and obtain necessary and suffici...

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Detalles Bibliográficos
Autores principales: Mohiuddine, Syed Abdul, Alotaibi, Abdullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760691/
https://www.ncbi.nlm.nih.gov/pubmed/29367827
http://dx.doi.org/10.1186/s13660-017-1600-z
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author Mohiuddine, Syed Abdul
Alotaibi, Abdullah
author_facet Mohiuddine, Syed Abdul
Alotaibi, Abdullah
author_sort Mohiuddine, Syed Abdul
collection PubMed
description The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm [Formula: see text] is a BK-space. We also define the notions of weighted almost conservative and regular matrices and obtain necessary and sufficient conditions for these matrix classes. Moreover, we define a weighted almost A-summable sequence and prove the related interesting result.
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spelling pubmed-57606912018-01-22 Weighted almost convergence and related infinite matrices Mohiuddine, Syed Abdul Alotaibi, Abdullah J Inequal Appl Research The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm [Formula: see text] is a BK-space. We also define the notions of weighted almost conservative and regular matrices and obtain necessary and sufficient conditions for these matrix classes. Moreover, we define a weighted almost A-summable sequence and prove the related interesting result. Springer International Publishing 2018-01-10 2018 /pmc/articles/PMC5760691/ /pubmed/29367827 http://dx.doi.org/10.1186/s13660-017-1600-z Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Mohiuddine, Syed Abdul
Alotaibi, Abdullah
Weighted almost convergence and related infinite matrices
title Weighted almost convergence and related infinite matrices
title_full Weighted almost convergence and related infinite matrices
title_fullStr Weighted almost convergence and related infinite matrices
title_full_unstemmed Weighted almost convergence and related infinite matrices
title_short Weighted almost convergence and related infinite matrices
title_sort weighted almost convergence and related infinite matrices
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760691/
https://www.ncbi.nlm.nih.gov/pubmed/29367827
http://dx.doi.org/10.1186/s13660-017-1600-z
work_keys_str_mv AT mohiuddinesyedabdul weightedalmostconvergenceandrelatedinfinitematrices
AT alotaibiabdullah weightedalmostconvergenceandrelatedinfinitematrices

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