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

Özet

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.