Some normed binomial difference sequence spaces related to the [Formula: see text] spaces

The aim of this paper is to introduce the normed binomial sequence spaces [Formula: see text] by combining the binomial transformation and difference operator, where [Formula: see text] . We prove that these spaces are linearly isomorphic to the spaces [Formula: see text] and [Formula: see text] , r...

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Detalles Bibliográficos
Autores principales: Song, Meimei, Meng, Jian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487949/
https://www.ncbi.nlm.nih.gov/pubmed/28680231
http://dx.doi.org/10.1186/s13660-017-1401-4
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author Song, Meimei
Meng, Jian
author_facet Song, Meimei
Meng, Jian
author_sort Song, Meimei
collection PubMed
description The aim of this paper is to introduce the normed binomial sequence spaces [Formula: see text] by combining the binomial transformation and difference operator, where [Formula: see text] . We prove that these spaces are linearly isomorphic to the spaces [Formula: see text] and [Formula: see text] , respectively. Furthermore, we compute Schauder bases and the α-, β- and γ-duals of these sequence spaces.
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spelling pubmed-54879492017-07-03 Some normed binomial difference sequence spaces related to the [Formula: see text] spaces Song, Meimei Meng, Jian J Inequal Appl Research The aim of this paper is to introduce the normed binomial sequence spaces [Formula: see text] by combining the binomial transformation and difference operator, where [Formula: see text] . We prove that these spaces are linearly isomorphic to the spaces [Formula: see text] and [Formula: see text] , respectively. Furthermore, we compute Schauder bases and the α-, β- and γ-duals of these sequence spaces. Springer International Publishing 2017-06-02 2017 /pmc/articles/PMC5487949/ /pubmed/28680231 http://dx.doi.org/10.1186/s13660-017-1401-4 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
Song, Meimei
Meng, Jian
Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title_full Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title_fullStr Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title_full_unstemmed Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title_short Some normed binomial difference sequence spaces related to the [Formula: see text] spaces
title_sort some normed binomial difference sequence spaces related to the [formula: see text] spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487949/
https://www.ncbi.nlm.nih.gov/pubmed/28680231
http://dx.doi.org/10.1186/s13660-017-1401-4
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AT mengjian somenormedbinomialdifferencesequencespacesrelatedtotheformulaseetextspaces

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