Arithmetic convergent sequence space defined by modulus function

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

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Author Biographies

Taja Yaying, Dera Natung Govt. College

Mathematics

Assistant Professor

Bipan Hazarika, Rajiv Gandhi University Department of Mathematics

Mathematics

Associate Professor

Published
2018-01-09
Section
Research Articles