Weighted $\beta\gamma$-summability of fuzzy functions of order $\theta$

TL;DR

This paper introduces and classifies weighted -summability of fuzzy functions of order , exploring its relations with statistical convergence and establishing a generalized Tauberian theorem.

Contribution

It presents a new framework for weighted -summability of fuzzy functions of order , including inclusion relations and a generalized Tauberian theorem.

Findings

Established inclusion relations among summability sets

Linked summability with generalized statistical convergence

Proved a generalized Tauberian theorem

Abstract

The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated. Also we have found some suitable conditions to get its relation with the generalized statistical convergence. Finally we have proved a generalized version of Tauberian theorem.