Statistical Tauberian theorems for Cesàro integrability mean based on post-quantum calculus

The notion of statistical convergence is more general than the classical convergence. Tauberian theorems via different ordinary summability means have been established by many researchers. In the present work, we have established some new Tauberian theorems based on post-quantum calculus via statist...

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Bibliographic Details
Published in:Arabian journal of mathematics 2020-12, Vol.9 (3), p.653-663
Main Authors: Parida, P., Paikray, S. K., Jena, B. B.
Format: Article
Language:English
Subjects:
40C10
40E05
40G05
Mathematics
Mathematics and Statistics
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Summary:The notion of statistical convergence is more general than the classical convergence. Tauberian theorems via different ordinary summability means have been established by many researchers. In the present work, we have established some new Tauberian theorems based on post-quantum calculus via statistical Cesàro summability mean of real-valued continuous function of one variable under oscillating behavior and De la vallée Poussin mean of a single integral. Moreover, some remarks and corollaries are provided here to support our theorems.
ISSN:2193-5343
2193-5351
DOI:10.1007/s40065-020-00284-z