On some binomial [Formula: see text] -difference sequence spaces

In this paper, we introduce the binomial sequence spaces [Formula: see text] , [Formula: see text] and [Formula: see text] by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-...

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Detalles Bibliográficos
Autores principales: Meng, Jian, Song, Meimei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569914/
https://www.ncbi.nlm.nih.gov/pubmed/28890632
http://dx.doi.org/10.1186/s13660-017-1470-4
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author Meng, Jian
Song, Meimei
author_facet Meng, Jian
Song, Meimei
author_sort Meng, Jian
collection PubMed
description In this paper, we introduce the binomial sequence spaces [Formula: see text] , [Formula: see text] and [Formula: see text] by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-, β- and γ-duals of these sequence spaces. Finally, we characterize matrix transformations on the sequence space [Formula: see text] .
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spelling pubmed-55699142017-09-07 On some binomial [Formula: see text] -difference sequence spaces Meng, Jian Song, Meimei J Inequal Appl Research In this paper, we introduce the binomial sequence spaces [Formula: see text] , [Formula: see text] and [Formula: see text] by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-, β- and γ-duals of these sequence spaces. Finally, we characterize matrix transformations on the sequence space [Formula: see text] . Springer International Publishing 2017-08-22 2017 /pmc/articles/PMC5569914/ /pubmed/28890632 http://dx.doi.org/10.1186/s13660-017-1470-4 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
Meng, Jian
Song, Meimei
On some binomial [Formula: see text] -difference sequence spaces
title On some binomial [Formula: see text] -difference sequence spaces
title_full On some binomial [Formula: see text] -difference sequence spaces
title_fullStr On some binomial [Formula: see text] -difference sequence spaces
title_full_unstemmed On some binomial [Formula: see text] -difference sequence spaces
title_short On some binomial [Formula: see text] -difference sequence spaces
title_sort on some binomial [formula: see text] -difference sequence spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569914/
https://www.ncbi.nlm.nih.gov/pubmed/28890632
http://dx.doi.org/10.1186/s13660-017-1470-4
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