On some new I-convergent double sequence spaces of invariant means defined by ideal and modulus function
1Department of Mathematics, Aligarh Muslim University, Aligarh, INDIA
Sigma J Eng Nat Sci 2017; 35(4): 695-706
Abstract
The sequence space 𝐵𝑉𝜎 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.
