I-convergent triple difference sequence spaces defined by a sequence of modulus function

TL;DR

This paper introduces new classes of triple difference sequence spaces based on $I$-convergence and modulus functions, exploring their algebraic and topological properties.

Contribution

It defines novel $I$-convergent triple difference sequence spaces using modulus functions and analyzes their algebraic and topological characteristics.

Findings

Defined new sequence spaces $c_{0I}^{3}( riangle,)$, $c_{I}^{3}( riangle,)$, $ell_{ I}^{3}( riangle,)$, $M_{I}^{3}( riangle,)$, $M_{0I}^{3}( riangle,)$.

Studied algebraic properties of these sequence spaces.

Explored topological properties of the introduced spaces.

Abstract

The main objective of this paper is to introduce classes of $I$-convergent triple difference sequence spaces, $c_{0I}^{3}(\Delta,\digamma)$, $c_{I}^{3}(\Delta,\digamma)$, $\ell_{\infty I}^{3}(\Delta,\digamma)$, $M_{I}^{3}(\Delta,\digamma)$ and $M_{0I}^{3}(\Delta,\digamma)$, by using sequence of modulii function $\digamma=(f_{pqr})$. We also study some algebraic and topological properties of these new sequence spaces.