On an application of almost increasing sequences

In the present paper, a general theorem on ${mid{bar{N},p_n;delta}mid}_k$ summability factors of infinite series has been proved under weaker conditions. Some new results have also been obtained dealing with ${mid{bar{N},p_n }mid}_k$ and ${mid{C,1;delta}mid}_k$ summability factors

A note on generalized absolute Cesàro summability

In this paper, a known theorem dealing with ${mid{C},1mid}_k$ summability methods has been generalized under weaker conditions for ${mid{C},alpha,beta ;deltamid}_k$ summability methods. Some new results have also been obtained

A new note on factored infinite series and trigonometric Fourier series

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We have also obtained certain new results on the different absolute summability methods

A new application of quasi power increasing sequences

By applying the concept of a $beta$- power increasing sequence, the author presents a generalization of a result of Leindler [8] dealing with ${mid{bar{N},p_n}mid}_k$ summability for the $mid{bar{N},p_n,theta_{n}}mid_{k}$ summability factors. Some new results have also been obtained

Factors for generalized absolute Cesàro summability

In this paper, a result of Bor [2] dealing with ${mid{C,alpha;beta}mid}_k$ summability factors has been generalized for ${mid{C},alpha, gamma;betamid}_k$ summability factors

Factors for Absolute Weighted Arithmetic Mean Summability of Infinite Series

In this paper, we proved a general theorem dealing with absolute weighted arithmetic mean summability factors of infinite series under weaker conditions. We have also obtained some known results

A new note on factored infinite series and trigonometric Fourier series

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We have also obtained certain new results on the different absolute summability methods