Title of article :
TAUBERIAN THEOREMS FOR THE PRODUCT OF BOREL and LOGARITHMIC METHODS OF SUMMABILITY
Author/Authors :
SEZER, S. A Department of Mathematics - Istanbul Medeniyet University - Istanbul, Turkey
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 satisfied. 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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
