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Arithmetic convergent sequence space defined by modulus function

Published:2018-01-09 Issue:4 Volume:37 Page:129-135
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Yaying Taja¹,Hazarika Bipan²^ORCID

Affiliation:

1. Dera Natung Govt. College

2. Rajiv Gandhi University

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference20 articles.

1. Strongly convergent generalized difference sequence spaces defined by a modulus

2. 2. Ayhan Esi, Some new sequence spaces defined by a sequence of moduli, Turkish J. Math. 21 (1997), Special Issue, 61–68.

3. Some new sequence spaces defined by a modulus function.

4. On symmetric sequence spaces

5. Symmetric bases of locally convex spaces

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1. Arithmetic summable sequence space over non-Newtonian field;Afrika Matematika;2019-10-19

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