Some new lacunary statistical convergence with ideals

In this paper, the idea of lacunary [Formula: see text] -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text] -statistical convergence with lacunary [Formula: see text] -summable sequences. Moreove...

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Detalles Bibliográficos
Autores principales: Kilicman, Adem, Borgohain, Stuti
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5222947/
https://www.ncbi.nlm.nih.gov/pubmed/28111513
http://dx.doi.org/10.1186/s13660-016-1284-9
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author Kilicman, Adem
Borgohain, Stuti
author_facet Kilicman, Adem
Borgohain, Stuti
author_sort Kilicman, Adem
collection PubMed
description In this paper, the idea of lacunary [Formula: see text] -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text] -statistical convergence with lacunary [Formula: see text] -summable sequences. Moreover, we study the [Formula: see text] -lacunary statistical convergence in probabilistic normed space and discuss some topological properties.
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spelling pubmed-52229472017-01-19 Some new lacunary statistical convergence with ideals Kilicman, Adem Borgohain, Stuti J Inequal Appl Research In this paper, the idea of lacunary [Formula: see text] -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text] -statistical convergence with lacunary [Formula: see text] -summable sequences. Moreover, we study the [Formula: see text] -lacunary statistical convergence in probabilistic normed space and discuss some topological properties. Springer International Publishing 2017-01-10 2017 /pmc/articles/PMC5222947/ /pubmed/28111513 http://dx.doi.org/10.1186/s13660-016-1284-9 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
Kilicman, Adem
Borgohain, Stuti
Some new lacunary statistical convergence with ideals
title Some new lacunary statistical convergence with ideals
title_full Some new lacunary statistical convergence with ideals
title_fullStr Some new lacunary statistical convergence with ideals
title_full_unstemmed Some new lacunary statistical convergence with ideals
title_short Some new lacunary statistical convergence with ideals
title_sort some new lacunary statistical convergence with ideals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5222947/
https://www.ncbi.nlm.nih.gov/pubmed/28111513
http://dx.doi.org/10.1186/s13660-016-1284-9
work_keys_str_mv AT kilicmanadem somenewlacunarystatisticalconvergencewithideals
AT borgohainstuti somenewlacunarystatisticalconvergencewithideals

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