On (Δ(m), I)-Statistical Convergence of Order α

The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δ(m), I)-statistical convergence of order α and strong (Δ(p) (m), I)-Cesàro summability of order α of real sequence...

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Detalles Bibliográficos
Autores principales: Et, Mikail, Alotaibi, Abdullah, Mohiuddine, S. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934449/
https://www.ncbi.nlm.nih.gov/pubmed/24688403
http://dx.doi.org/10.1155/2014/535419
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author Et, Mikail
Alotaibi, Abdullah
Mohiuddine, S. A.
author_facet Et, Mikail
Alotaibi, Abdullah
Mohiuddine, S. A.
author_sort Et, Mikail
collection PubMed
description The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δ(m), I)-statistical convergence of order α and strong (Δ(p) (m), I)-Cesàro summability of order α of real sequences and investigated their relationship.
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spelling pubmed-39344492014-03-31 On (Δ(m), I)-Statistical Convergence of Order α Et, Mikail Alotaibi, Abdullah Mohiuddine, S. A. ScientificWorldJournal Research Article The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δ(m), I)-statistical convergence of order α and strong (Δ(p) (m), I)-Cesàro summability of order α of real sequences and investigated their relationship. Hindawi Publishing Corporation 2014-02-09 /pmc/articles/PMC3934449/ /pubmed/24688403 http://dx.doi.org/10.1155/2014/535419 Text en Copyright © 2014 Mikail Et et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Et, Mikail
Alotaibi, Abdullah
Mohiuddine, S. A.
On (Δ(m), I)-Statistical Convergence of Order α
title On (Δ(m), I)-Statistical Convergence of Order α
title_full On (Δ(m), I)-Statistical Convergence of Order α
title_fullStr On (Δ(m), I)-Statistical Convergence of Order α
title_full_unstemmed On (Δ(m), I)-Statistical Convergence of Order α
title_short On (Δ(m), I)-Statistical Convergence of Order α
title_sort on (δ(m), i)-statistical convergence of order α
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934449/
https://www.ncbi.nlm.nih.gov/pubmed/24688403
http://dx.doi.org/10.1155/2014/535419
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