New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications
Abstract
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions. In particular, we introduce new modifications to two classical fractional extensions of Hermite–Hadamard-type inequalities, formulated for both MET-(p,s)-convex functions and logarithmic (p,s)-convex functions. Moreover, we obtain enhancements of inequalities like the Hermite–Hadamard, midpoint, and Fejér types for two extended convex functions by employing the Caputo fractional derivative. The research presents a numerical example with graphical representations to confirm the correctness of the obtained results.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Optimization and Variational Analysis
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 1
- Pages
- 62–62
- Publication date
- 15 January 2026
- Language
- EN