[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2019.59.2.233

An Application of Absolute Matrix Summability using Almost Increasing and δ-quasi-monotone Sequences

Ozarslan, Hikmet Seyhan (Department of Mathematics, Erciyes University)

Publication Information

Kyungpook Mathematical Journal / v.59, no.2, 2019 , pp. 233-240 More about this Journal

Abstract

In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$ -quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.

Keywords

summability factors; almost increasing sequences; absolute matrix summability; quasi-monotone sequences; infinite series; $H{\ddot{o}}lder$ inequality; Minkowski inequality;

Citations & Related Records

Reference

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