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

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.