Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals

TL;DR

This paper develops new Hadamard-type and Bullen-type inequalities for Lipschitzian functions using Riemann-Liouville fractional integrals, extending existing mathematical inequalities with potential applications.

Contribution

The paper introduces novel inequalities for Lipschitzian functions via fractional integrals, linking classical inequalities with fractional calculus.

Findings

Established Hadamard-type inequalities for Lipschitzian functions

Derived Bullen-type inequalities using fractional integrals

Connected results with previous work on Lipschitzian inequalities

Abstract

In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral. These results have some relationships with [K.-L. Tseng, S.-R. Hwang and K.-C. Hsu, Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications, Computers and Mathematics with Applications (2012). doi:10.1016/j.camwa.2011.12.076].