On some Zweier I-convergent double sequence spaces defined by a modulus function

Vakeel A. Khan 1 , Nazneen Khan 1 , Sabiha Tabassum 2 , Khalid Ebadullah 3 ,  and Daniel Breaz 4
  • 1 Department of Mathematics, Aligarh Muslim University, Aligarh, India
  • 2 Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh, India
  • 3 Institute of Technology and Management, Karsua, Aligarh, India
  • 4 Department of Mathematics and Informatics, 1 Decembrie 1918, University of Alba Iulia, Romania

Abstract

In this article we introduce the double sequence spaces 2𝒵I(f), 2𝒵0I(f) and 2𝒵I(f) for a modulus function f and study some of the topological and algebraic properties of these spaces.

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Analysis is devoted to the field of mathematical analysis, in particular classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal, as well as to boost the cooperation between scholars.

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