Extended Generalized Flett's Mean Value Theorem

TL;DR

This paper develops an extended version of Flett's Mean Value Theorem within the broader context of generalized mean value theorems, aiming to expand theoretical understanding of these mathematical principles.

Contribution

It introduces the Extended Generalized Flett's Mean Value Theorem, a new theoretical result extending existing mean value theorems using Flett's approach.

Findings

Formulation of the new theorem

Theoretical proof of the theorem

Potential applications in mathematical analysis

Abstract

Various forms of Mean Value Theorems are available in the literature. If we use Flett's Mean Value Theorem in Extended Generalized Mean Value Theorem then what would the new theorem look like. A sincere effort is done to develop this theorem. This theorem is named as Extended Generalized Flett's Mean Value Theorem.