A New Factor Theorem for Generalized Absolute Riesz Summability

A. Karakaş

Abstract


The aim of this paper is to consider an absolute summability method and generalize  a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$
summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using almost
increasing sequence. Furthermore,  it is explained that a well known result dealing with $\left|\bar{N},p_{n}\right|_{k}$ summability
is obtained when this generalization is  restricted under special conditions.

Keywords


summability factors, almost increasing sequence, infinite series, H\"{o}lder inequality, Minkowski inequality

Full Text: Article
3 :: 11

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.