A new factor theorem on absolute matrix summability method

In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences. That theorem also includes some new and known results dealing with some basic summability methods

A new result on the quasi power increasing sequences

This paper presents a theorem dealing with absolute matrix summability of infinite series. This theorem has been proved taking quasi β-power increasing sequence instead of almost increasing sequence.

A matrix application of power increasing sequences to infinite series and Fourier series

UDC 517.54 The aim of the paper is a generalization, under weaker conditions, of the main theorem on quasi- σ -power increasing sequences applied to | A , θ n | k summability factors of infinite series and Fourier series. We obtain some new and known results related to basic summability methods.

On a new application of quasi power increasing sequences

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.

A new study on generalized quasi power increasing sequences

We prove a general theorem dealing with an application of quasi ?-power increasing sequences. This theorem also includes several new and known results.

A new note on generalized absolute Cesàro summability factors

Quite recently, in [10], we have proved a theorem dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. In this paper, we generalize this theorem for the more general summability method. This new theorem also includes some new and known results.