[Formula: see text] -statistical convergence of order α̃ for double sequences

New concepts of [Formula: see text] -statistical convergence for double sequences of order α̃ and strong [Formula: see text] -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we give the relationship between the spaces [Formu...

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Detalles Bibliográficos
Autores principales: Işik, Mahmut, Altin, Yavuz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5628220/
https://www.ncbi.nlm.nih.gov/pubmed/29051693
http://dx.doi.org/10.1186/s13660-017-1512-y
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author Işik, Mahmut
Altin, Yavuz
author_facet Işik, Mahmut
Altin, Yavuz
author_sort Işik, Mahmut
collection PubMed
description New concepts of [Formula: see text] -statistical convergence for double sequences of order α̃ and strong [Formula: see text] -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we give the relationship between the spaces [Formula: see text] , [Formula: see text] and [Formula: see text] . Then we express the properties of strong [Formula: see text] -Cesàro summability of order β̃ which is related to strong [Formula: see text] -Cesàro summability of order α̃. Also, some relations between [Formula: see text] -statistical convergence of order α̃ and strong [Formula: see text] -Cesàro summability of order α̃ are given.
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spelling pubmed-56282202017-10-17 [Formula: see text] -statistical convergence of order α̃ for double sequences Işik, Mahmut Altin, Yavuz J Inequal Appl Research New concepts of [Formula: see text] -statistical convergence for double sequences of order α̃ and strong [Formula: see text] -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we give the relationship between the spaces [Formula: see text] , [Formula: see text] and [Formula: see text] . Then we express the properties of strong [Formula: see text] -Cesàro summability of order β̃ which is related to strong [Formula: see text] -Cesàro summability of order α̃. Also, some relations between [Formula: see text] -statistical convergence of order α̃ and strong [Formula: see text] -Cesàro summability of order α̃ are given. Springer International Publishing 2017-10-04 2017 /pmc/articles/PMC5628220/ /pubmed/29051693 http://dx.doi.org/10.1186/s13660-017-1512-y Text en © The Author(s) 2017 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
Işik, Mahmut
Altin, Yavuz
[Formula: see text] -statistical convergence of order α̃ for double sequences
title [Formula: see text] -statistical convergence of order α̃ for double sequences
title_full [Formula: see text] -statistical convergence of order α̃ for double sequences
title_fullStr [Formula: see text] -statistical convergence of order α̃ for double sequences
title_full_unstemmed [Formula: see text] -statistical convergence of order α̃ for double sequences
title_short [Formula: see text] -statistical convergence of order α̃ for double sequences
title_sort [formula: see text] -statistical convergence of order α̃ for double sequences
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5628220/
https://www.ncbi.nlm.nih.gov/pubmed/29051693
http://dx.doi.org/10.1186/s13660-017-1512-y
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