Almost absolute weighted summability with index k
Functional Analysis
2019-08-01 v1 Classical Analysis and ODEs
Abstract
The space 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 topological structures and relations between classical sequence spaces. Also we characterize certain matrix operators on it.
Cite
@article{arxiv.1907.13596,
title = {Almost absolute weighted summability with index k},
author = {Mehmet Ali Sarıgöl and Mohammad Mursaleen},
journal= {arXiv preprint arXiv:1907.13596},
year = {2019}
}