Browsing by Author "Totur, Ümit"
Let (un) be a sequence of real numbers which is (A, k) summable. In this work, several new Tauberian theorems for (A, k) summability methods will be given in terms of generating sequences of (un).
We investigate the conditions needed for a Borel summable sequence to be convergent. The results of this paper extend and improve the well known result of Hardy and Littlewood [Proc. London Math. Soc. 11 (1913), 1-16].
Using Tauberian theorems for Abel summability method by Hardy , Littlewood  and Pati , we have given several Tauberian theorems for (A)(C, α) summability method. Also in this work some theorems given by Pati  ...