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

Authors : Vakeel A KHAN, Hira FATIMA, Sameera A A ABDULLAH, Kamal M A S ALSHLOOL

Pages : 695-706

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Publication Date : 2017-12-01

Article Type : Research Paper

Abstract :The sequence space BV_insert ignore into journalissuearticles values(σ );was introduced and studied by Mursaleen [Houston J. Math. 9, 505-509 insert ignore into journalissuearticles values(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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