Vakeel A. Khan

On a new I-convergent sequence space

Abstract The sequence space BVσ was introduced and studied by Mursaleen [10]. In this article we introduce the sequence space BVIσ and study some of the properties of this space.

On Riesz–Musielak–Orlicz Sequence Spaces

In this paper, we define the Riesz–Musielak–Orlicz sequence space and exhibit some geometric properties for this space. The results herein proved are analogous to those by R. Wangkeeree (Thai J. Math. 2003; 1:119–130) for the Cesàro sequence space cesp.

Zweier I-convergent sequence spaces defined by Orlicz function

Summary In this article we introduce the sequence spaces ZI (M),ZI0 (M) and ZI∞ (M) using the Orlicz function M. We study the algebraic properties and inclusion relations on these spaces.

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

Abstract In this article we introduce the double sequence spaces 2 𝒵 I (f)

On a New I-Convergent Double-Sequence Space

{\,}_2\mathcal {Z}^{I}(f)

Spaces of Ideal Convergent Sequences of Bounded Linear Operators

, 2 𝒵 0 I (f)

Some new classes of paranorm ideal convergent double sequences of sigma-bounded variation over n-normed spaces

{\,}_2\mathcal {Z}^{I}_{0}(f)

On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

and 2 𝒵 ∞ I (f)

Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

{\,}_2\mathcal {Z}^{I}_{\infty }(f)

Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by modulus function

for a modulus function f and study some of the topological and algebraic properties of these spaces.