Generalization of different type integral inequalities for ({\alpha},m)-convex functions via fractional integrals

TL;DR

This paper develops new integral inequalities of Hermite-Hadamard and Simpson types for ({\

Contribution

It introduces generalized inequalities for ({\alpha},m)-convex functions using fractional integrals, expanding the scope of classical integral inequalities.

Findings

Derived a general integral identity for twice differentiable functions.

Established new Hermite-Hadamard and Simpson type inequalities.

Applied fractional integrals to extend classical inequalities.

Abstract

In this paper, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable ({\alpha},m)-convex functions via Riemann Liouville fractional integral.