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.
SEZER, SEFA ANIL and ÇANAK, İBRAHİM
"Tauberian conditions under which convergence follows from summability by thediscrete power series method,"
Turkish Journal of Mathematics: Vol. 43:
6, Article 20.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss6/20