ON SOME NEW I-CONVERGENT DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY IDEAL AND MODULUS FUNCTION

Year 2017, Volume: 35 Issue: 4, 695 - 706, 01.12.2017

Vakeel A. Khan Hira Fatıma Sameera A. A. Abdullah Kamal M. A. S. Alshlool

Abstract

The sequence space BV_(σ )was introduced and studied by Mursaleen [Houston J. Math. 9, 505-509 (1983; Zbl 0542.40003)]. The main aim of this paper is to study some new double sequence spaces of invariant means defined by ideal and modulus function. Furthermore, we also study several properties relevant to topological structures and inclusion relations between these spaces.

Keywords

Bounded variation, invariant mean, σ-Bounded variation, ideal, filter, Modulus function, I-Convergence, I-null, solid space, sequence algebra, symmetric space, convergence free space

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