- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Vol: 35 Issue: 4
- ON SOME NEW I-CONVERGENT DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY IDEAL AND MODULUS FUNC...
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
View : 6 | Download : 2
Publication Date : 2017-12-01
Article Type : Research
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