Certain Aspects of Deferred Statistical Convergence of Sequences in Probabilistic Normed Spaces

TL;DR

This paper explores the concept of deferred statistical convergence and Cauchy sequences within probabilistic normed spaces, providing foundational results that extend classical convergence ideas into probabilistic settings.

Contribution

It introduces and analyzes deferred statistical convergence and Cauchy sequences specifically in probabilistic normed spaces, expanding the theoretical framework.

Findings

Established fundamental results on deferred statistical convergence.

Analyzed properties of deferred statistical Cauchy sequences.

Extended classical convergence concepts to probabilistic normed spaces.

Abstract

In this research article, we have primarily focused on the circumstantial investigation of deferred statistical convergence of sequences and investigated some fundamental results compatible with the structure of a probabilistic normed space. Additionally, the idea of deferred statistical Cauchy sequences has been discussed with reference to the structure of a probabilistic normed space.