New Generalized Geometric Difference Sequence Spaces

TL;DR

This paper introduces a new geometric sequence space, exploring its topological, inclusion, convergence, and dual properties, along with its relation to Orlicz functions, advancing the mathematical understanding of geometric sequence spaces.

Contribution

It presents a novel generalized geometric difference sequence space and investigates its fundamental properties, including topological, inclusion, convergence, duality, and Orlicz function relations.

Findings

New geometric sequence space defined and analyzed

Topological and inclusion properties established

Convergence and duality properties characterized

Abstract

In this current study, the most apparent aspect is to submit a new geometric sequence space. We investigate its topological properties , inclusion relations, Geometric statistical convergence and Geometric property of Orlicz function and . Moreover, we also check its dual properties.