Absolute almost weighted summability methods

Abstract

The space ℓ k of absolutely almost convergent series was introduced and studied by Das et al [4], which plays an important role in summability theory, approximation theory, Fourier analysis, etc. In the present paper we generalize the space making use of some factors and weighted mean transformations, investigate its toplogical structures and relations between classical sequence spaces. Also we characterize certain matrix operatos on it.

A study on absolute summability factors

“…An appropriate extension of (1.2) to a factorable matrix would be as follows [4]. Let = ( ) denote the factorable matrix defined by…”