MMN-1237

A one-sided theorem for the product of Abel and Cesáro summability methods

Abstract

In this paper, a one-sided condition is given to recover $(C, \alpha)$ summability of a sequence from its $(A)(C, \alpha +1)$ summability. Our result extends and generalizes well known classical Tauberian theorems given for Abel and Ces\`{a}ro summability methods.


Vol. 16 (2015), No. 1, pp. 101-114
DOI: https://doi.org/10.18514/MMN.2015.1237


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