Necessary and sufficient Tauberian conditions for weighted mean methods of summability in two-normed spaces


Çanak İ., Erikli G., Sezer S. A. , Yaraşgil E.

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, cilt.24, ss.49-57, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.12697/acutm.2020.24.04
  • Dergi Adı: ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
  • Sayfa Sayıları: ss.49-57

Özet

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.