On Regularly Weighted Generated Sequences

Umit Totur, Ibrahim Canak

Abstract


We introduce a new concept which is called a regularly weighted generated sequence for sequences of real numbers. Moreover, we obtain some Tauberian conditions in terms of  regularly weighted generated sequences for the power series method of summability, and generalize some classical Tauberian theorems given by Tietz [Acta Sci. Math. 54 (3-4) 355--365 (1990)].

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