A New Factor Theorem for Generalized Absolute Riesz Summability

A. Karakaş


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.


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

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