On a new application of quasi power increasing sequences

H. S. Özarslan

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, H\"{o}lder inequality, Minkowski inequality, matrix transformation

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