Ebook: Fractional Hermite-Hadamard Inequalities
Author: JinRong Wang, Michal Fečkan
- Series: Fractional Calculus in Applied Sciences and Engineering, 5
- Year: 2018
- Publisher: De Gruyter
- Language: English
- pdf
This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus.
Contents
Introduction
Preliminaries
Fractional integral identities
Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
Hermite-Hadamard inequalities involving Hadamard fractional integrals
- Derives fractional integral identies for differentiable convex functions.
- Presents Hermite-Hadamard type inequalities for Riemann-Liouville and Hadamard fractional equations.
- Combines rigorous proofs with applications.
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