A Systematic Review on Hermite-Hadamard Inequality: Theory and Applications
arXiv:2111.10731
Abstract
Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often found it difficult to understand them. Thus, some important discoverers, such as the formulations of H-H type inequalities via various classes of convexity, through differentiable mappings and for fractional integrals, are presented. Some well-known examples from previous literature are used as illustrations.
29 pages
References in corpus (5)
- Hermite-Hadamard and Hermite-Hadamard-Fejér type Inequalities for Generalized Fractional Integrals
- Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
- Mellin Transforms of the Generalized Fractional Integrals and Derivatives
- Generalized Fejér-Hermite-Hadamard type via generalized -convexity on fractal sets and applications
- Generalized Convex Functions and Some Inequalities on Fractal Sets