A note on generalized absolute Cesàro summability

On Generalized Absolute Cesàro Summablity Factors

In this paper, we prove a known theorem dealing with φ− | C, α, β |k summability factors under more weaker conditions. This theorem also includes several new results.

On absolute generalized Norlund summability of double orthogonal series

In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...

On Absolute Cesàro Summability

A New Factor Theorem for Generalized Cesàro Summability

In [6], we proved a theorem dealing with an application of quasi-f-power increasing sequences. In this paper, we prove that theorem under less and weaker conditions. This theorem also includes several new results.

A One-sided Theorem for the Product of Abel and Cesàro Summability Methods

In this paper, a one-sided condition is given to recover .C; ̨/ summability of a sequence from its .A/.C; ̨C 1/ summability. Our result extends and generalizes the well known classical Tauberian theorems given for Abel and Cesàro summability methods. 2010 Mathematics Subject Classification: 40E05; 40G05; 40G10