$Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series$

Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series

Abstract 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 φ − | C , α , β ; δ | k $\varphi-\vert C, \alpha, \beta; \delta \v...

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Main Authors:	Smita Sonker, Alka Munjal
Format:	Article
Language:	English
Published:	SpringerOpen 2017-07-01
Series:	Journal of Inequalities and Applications
Subjects:	absolute summability infinite series φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta \vert _{k}$ summability quasi-f-power increasing sequence
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1445-5

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spelling	doaj-7ffe7f7e914e4dc280b6401a319ddd052020-11-24T21:36:20ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-07-01201711710.1186/s13660-017-1445-5Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite seriesSmita Sonker0Alka Munjal1Department of Mathematics, National Institute of Technology KurukshetraDepartment of Mathematics, National Institute of Technology KurukshetraAbstract 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 φ − \| C , α , β ; δ \| k $\varphi-\vert C, \alpha, \beta; \delta \vert _{k}$ summability for an infinite series. We further obtained well-known applications of the above theorem as corollaries, under suitable conditions.http://link.springer.com/article/10.1186/s13660-017-1445-5absolute summabilityinfinite seriesφ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta \vert _{k}$ summabilityquasi-f-power increasing sequence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Smita Sonker Alka Munjal
spellingShingle	Smita Sonker Alka Munjal Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series Journal of Inequalities and Applications absolute summability infinite series φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta \vert _{k}$ summability quasi-f-power increasing sequence
author_facet	Smita Sonker Alka Munjal
author_sort	Smita Sonker
title	Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
title_short	Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
title_full	Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
title_fullStr	Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
title_full_unstemmed	Absolute φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
title_sort	absolute φ − \| c , α , β ; δ \| k $\varphi- \vert c, \alpha, \beta; \delta\vert _{k}$ summability of infinite series
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-07-01
description	Abstract 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 φ − \| C , α , β ; δ \| k $\varphi-\vert C, \alpha, \beta; \delta \vert _{k}$ summability for an infinite series. We further obtained well-known applications of the above theorem as corollaries, under suitable conditions.
topic	absolute summability infinite series φ − \| C , α , β ; δ \| k $\varphi- \vert C, \alpha, \beta; \delta \vert _{k}$ summability quasi-f-power increasing sequence
url	http://link.springer.com/article/10.1186/s13660-017-1445-5
work_keys_str_mv	AT smitasonker absolutephcabdkvarphivertcalphabetadeltavertksummabilityofinfiniteseries AT alkamunjal absolutephcabdkvarphivertcalphabetadeltavertksummabilityofinfiniteseries
_version_	1725941610560094208

Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series

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