TAUBERIAN THEOREMS FOR THE PRODUCT OF BOREL AND LOGARITHMIC METHODS OF SUMMABILITY

Year 2019, Volume: 9 Issue: 1, 165 - 171, 01.03.2019

S. A. Sezer

Abstract

In this paper, we show that if a sequence is summable by the product method B `; k , then it is also summable by the logarithmic method `; k , provided two-sided conditions of Hardy-type are satised. We also obtain some classical Tauberian theorems and their generalizations as special cases of our main theorems.

Keywords

Tauberian theorems, Borel summability, logarithmic summability, Hardytype conditions.

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