Open AccessTauberian theorems for the product of weighted and Cesàro summability methods of double sequences
Author(s) -
Gökşen Fındık,
İbrahi̇m Çanak
Publication year - 2019
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.5095103
Subject(s) - abelian and tauberian theorems , sequence (biology) , mathematics , convergence (economics) , product (mathematics) , pure mathematics , discrete mathematics , combinatorics , geometry , genetics , economics , biology , economic growth
In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pringsheim’s sense follows from its weighted-Cesàro summability. These Tauberian conditions are one-sided or twosided if it is a sequence of real or complex numbers, respectively.
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