Ask a Question

Prefer a chat interface with context about you and your work?

Tauberian theorems for the product of weighted and Cesàro summability methods of double sequences

Tauberian theorems for the product of weighted and Cesàro summability methods of double sequences

In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pring-sheim's sense follows from its weighted-Cesàro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence of real or complex numbers, respectively.