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

Autores/as

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

DOI:

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

Palabras clave:

Arithmetic convergence, sequence space, summability, modulus function

Resumen

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.

Biografía del autor/a

Taja Yaying, Dera Natung Govt. College

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

Mathematics
Associate Professor