Absolute [Formula: see text] summability of infinite series

In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro [Formula: see text] summability for an infinite series. We further obtained...

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Detalles Bibliográficos
Autores principales: Sonker, Smita, Munjal, Alka
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5514194/
https://www.ncbi.nlm.nih.gov/pubmed/28775659
http://dx.doi.org/10.1186/s13660-017-1445-5
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author Sonker, Smita
Munjal, Alka
author_facet Sonker, Smita
Munjal, Alka
author_sort Sonker, Smita
collection PubMed
description In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro [Formula: see text] summability for an infinite series. We further obtained well-known applications of the above theorem as corollaries, under suitable conditions.
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spelling pubmed-55141942017-08-01 Absolute [Formula: see text] summability of infinite series Sonker, Smita Munjal, Alka J Inequal Appl Research In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro [Formula: see text] summability for an infinite series. We further obtained well-known applications of the above theorem as corollaries, under suitable conditions. Springer International Publishing 2017-07-17 2017 /pmc/articles/PMC5514194/ /pubmed/28775659 http://dx.doi.org/10.1186/s13660-017-1445-5 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
Sonker, Smita
Munjal, Alka
Absolute [Formula: see text] summability of infinite series
title Absolute [Formula: see text] summability of infinite series
title_full Absolute [Formula: see text] summability of infinite series
title_fullStr Absolute [Formula: see text] summability of infinite series
title_full_unstemmed Absolute [Formula: see text] summability of infinite series
title_short Absolute [Formula: see text] summability of infinite series
title_sort absolute [formula: see text] summability of infinite series
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5514194/
https://www.ncbi.nlm.nih.gov/pubmed/28775659
http://dx.doi.org/10.1186/s13660-017-1445-5
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