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

Autor: Smita Sonker, Alka Munjal
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-7 (2017)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-017-1445-5
Popis: 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.
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