Some Tauberian Theorems For The Product Method Of Abel And Ces\`{a}ro Summability to Convergence

YILMAZ ERDEM; İbrahim ÇANAK

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

YILMAZ ERDEM, İbrahim ÇANAK

Last modified: 2014-03-03

Abstract

In this paper, we prove several new Tauberian theorems for the product of Abel and Ces\'{a}ro summability methods which improve some classical Tauberian theorems for the Abel summability method.

Keywords

Abel summability, Ces\'{a}ro summability, $(A)(C,\alpha)$ summability, Tauberian conditions, Tauberian theorems, product methods.