New Proof on some sharp double integral Inequalities of the Hermite-Hadamard Type

TL;DR

This paper presents a new proof for certain sharp double integral inequalities related to the Hermite-Hadamard type, utilizing Taylor's theorem with an integral remainder to establish the results.

Contribution

The paper introduces a novel proof technique for sharp Hermite-Hadamard type inequalities using Taylor's theorem, offering a different perspective from existing methods.

Findings

Established new sharp double integral inequalities

Provided a proof based on Taylor's theorem with integral remainder

Enhanced understanding of Hermite-Hadamard inequalities

Abstract

In this paper, we derive a new proof on some sharp double integral inequalities of the Hermite-Hadamard type. Our approach is mainly based on well-known Taylor's theorem with the integral remainder.