Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

Author:

KARTAL Bağdagül1ORCID

Affiliation:

1. Erciyes Üniversitesi

Abstract

This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.

Publisher

Gaziosmanpasa University

Reference27 articles.

1. H. Bor, H. S. Özarslan, A Note on Absolute Summability Factors, Advanced Studies in Contemporary Mathematics 6(1) (2003) 1{--}11.

2. H. S. Özarslan, A Note on Absolute Summability Factors, Proceedings of the Indian Academy of Sciences 113(2) (2003) 165{--}169.

3. H. Bor, H. S. Özarslan, On the Quasi-Monotone and Almost Increasing Sequences, Journal of Mathematical Inequalities 1(4) (2007) 529{--}534.

4. H. Bor, H. S. Özarslan, A New Application of Quasi-Monotone and Almost Increasing Sequences, Journal of Computational Analysis and Applications 13(5) (2011) 886{--}891.

5. H. S. Özarslan, Absolute Cesàro Summability Factors, Journal of Concrete and Applicable Mathematics 5(3) (2007) 231{--}236.

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