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

Conference paper > Full Text · 2018

Authors: Goksen Findik, İbrahim ÇANAK

AIP Conference Proceedings, Turkey, İstanbul, International, Verbal, Full Text, 2018-2018, Scopus, vol 2091, pp 030018-030018

DOI: 10.1063/1.5095103

Summary

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.

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