Tauberian Theorems for the Product of Weighted and Cesàro Summability Methods for Double Sequences

Articles > Article · 2019

Authors: Goksen Findik, İbrahim ÇANAK

Boletim da Sociedade Paranaense de Matemática, Journal Indexed in SCI Expanded, International, Scopus, 2019, vol 38, pp 9-19

DOI: 10.5269/bspm.v38i7.44135

Summary

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

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