Open AccessTauberian Theorems for the Product of Weighted and Cesàro Summability Methods for Double Sequences
Author(s) -
İbrahi̇m Çanak,
İbrahi̇m Çanak
Publication year - 2019
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v38i7.44135
Subject(s) - sequence (biology) , mathematics , abelian and tauberian theorems , product (mathematics) , convergence (economics) , combinatorics , pure mathematics , discrete mathematics , 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-Cesaro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence of real or complex numbers, respectively.