An Application of Almost Increasing Sequences

Kartal B.

Russian Mathematics, vol.65, no.11, pp.14-17, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.3103/s1066369x21110025
  • Journal Name: Russian Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.14-17
  • Keywords: almost increasing sequences, Cesaro summability, Holder's inequality, infinite series, Minkowski's inequality, summability factors
  • Erciyes University Affiliated: Yes

Abstract

In this paper, a general theorem on absolute Cesaro summability of an infinite series is proved by using an almost increasing sequence instead of a positive non-decreasing sequence