On a new application of quasi power increasing sequences

Abstract

In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, has been proved under weaker conditions by using quasi $\beta$-power increasing sequences. Also, a known result dealing with absolute Riesz summability has been given.

Keywords

• riesz mean
• almost increasing sequences
• quasi power increasing sequences
• hölder's inequality
• minkowski inequality
• matrix transformation