Open AccessNecessary and sufficient Tauberian conditions for weighted mean methods of summability in two-normed spaces
Author(s) -
İbrahi̇m Çanak,
Gizem Erikli,
Sefa Anıl Sezer,
Ece Yaraşgil
Publication year - 2020
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2020.24.04
Subject(s) - abelian and tauberian theorems , mathematics , pure mathematics , weighted arithmetic mean , discrete mathematics , statistics
We first define the concept of weighted mean method of summability and then present necessary and sufficient Tauberian conditions for the weighted mean summability of sequences in two-normed spaces. As corollaries, we establish two-normed analogues of two classical Tauberian theorems.
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