Tauberian conditions under which convergence follows from summability by the discrete power series method

Authors: SEFA ANIL SEZER, İBRAHİM ÇANAK

Abstract: In this paper, we obtain Tauberian conditions to recover convergence of a series from its discrete power series summability under certain conditions. As special cases of our main results, we get discrete analogues of some well-known Tauberian theorems in the literature.

Keywords: Tauberian conditions, discrete summability, power series methods

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