Arithmetic convergent sequence space defined by modulus function

Taja Yaying; Bipan Hazarika

doi:10.5269/bspm.v37i4.34750

Arithmetic convergent sequence space defined by modulus function

Authors

Taja Yaying Dera Natung Govt. College
Bipan Hazarika Rajiv Gandhi University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i4.34750

Keywords:

Arithmetic convergence, sequence space, summability, modulus function

Abstract

The aim of this article is to introduce the sequence spaces $AC(f)$ and $AS(f)$ using arithmetic convergence and modulus function, and study algebraic and topological properties of this space, and certain inclusion results.

Author Biographies

Taja Yaying, Dera Natung Govt. College

Mathematics
Assistant Professor
Bipan Hazarika, Rajiv Gandhi University Department of Mathematics

Mathematics
Associate Professor