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

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.

Keywords

• Cesàro summability
• $\delta$-quasi-monotone sequence
• summability factors
• almost increasing sequence
• infinite series

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