On Hermite-Hadamard Inequalities for differentiable $\lambda$-preinvex functions via Riemann-Liouville Fractional Integrals

TL;DR

This paper introduces $5$-preinvex functions, a new class of convex functions, and establishes Hermite-Hadamard inequalities for differentiable $5$-preinvex functions using Riemann-Liouville fractional integrals, with special cases examined.

Contribution

The paper defines $5$-preinvex functions and derives new Hermite-Hadamard inequalities for them via fractional integrals, expanding convex analysis.

Findings

Established Hermite-Hadamard inequalities for $5$-preinvex functions.

Connected fractional integrals with $5$-preinvexity.

Discussed special cases of the inequalities.

Abstract

In this paper, we consider a new class of convex functions which is called $\lambda$-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable $\lambda$-preinvex functions via Fractional Integrals. Some special cases are also discussed.