On Zweier paranorm I-convergent double sequence spaces

Cogent Mathematics

Vakeel A. Khan¹  Nazneen Khan¹  Yasmeen Khan¹ 

[1] Aligarh Muslim University;

关键词: ideal;    filter;    I-convergence;    I-nullity;    paranorm;   

DOI  :  10.1080/23311835.2015.1122257

来源: DOAJ

【 摘 要 】

In this article, we introduce the Zweier Paranorm I-convergent double sequence spaces $ ~_2\mathcal Z ^{I}(q),~_2\mathcal Z ^{I}_{0}(q) $ and $ ~_2\mathcal Z ^{I}_{\infty }(q) $ for $ q=(q_{ij}) $, a sequence of positive real numbers. We study some algebraic and topological properties on these spaces.

【 授权许可】

Unknown