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

Absolute |C,1|k summability factor of improper integrals

We introduce |C,1|k summability for improper integrals and develop a generalized theorem based on absolute Ces?ro summability factor of an improper integral under sufficient conditions. We also derive some auxiliary results from the main ones.

Index Summability of an Infinite Series Using δ-Quasi Monotone Sequence

A result concerning absolute indexed Summability factor of an infinite series using δ-Quasi monotone sequence has been established.