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September 10, 2025Open Access

Hermite-Hadamard Inequalities via Riemann-Liouville Fractional Integrals with Generalized Convex Functions

Key Points

New fractional integral inequalities enhance the understanding of Hermite-Hadamard inequalities.
Identities derived from Riemann-Liouville fractional integrals serve as foundational elements.
The study emphasizes twice-differentiable geometrically arithmetically convex functions, leading to broader implications.
Findings frame significant advancements in the existing literature on fractional calculus.

Abstract

In this study, novel fractional integral inequalities for twice-differentiable geometrically arithmetically (, m) -convex functions are presented. The classical Riemann-Liouville fractional integrals are used to obtain several new identities. By employing the above convexity, Hermite-Hadamard type inequalities are investigated using these identities. The main findings of this work extend the existing literature and are derived as special cases.

Hermite-Hadamard Inequalities via Riemann-Liouville Fractional Integrals with Generalized Convex Functions

Key Points

Abstract

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