Mohd Shafiq

On some spaces of Lacunary I-convergent sequences of interval numbers defined by sequence of moduli

In this article we introduce and study some spaces of I-convergent sequences of interval numbers with the help of a sequence F = (fk) of moduli, a bounded sequence p = (pk) of positive real numbers and a lacunary sequence θ = {kr} of increasing integers. We study some topological and algebraic properties and some inclusion relations on these spaces.

On I-convergent sequence spaces defined by a compact operator and a modulus function

In this article, we introduce and study I-convergent sequence spaces , , and with the help of compact operator T on the real space and a modulus function f. We study some topological and algebraic properties, and prove some inclusion relations on these spaces.

On Paranorm Zweier -Convergent Sequence Spaces

In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.