Fractional Hermite-Hadamard Inequalities
-
and
About this book
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.
Author / Editor information
Jinrong Wang, Guizhou University, Guiyang, China; Michal Fečkan, Comenius University in Bratislava, Slovakia.
Topics
-
Download PDFPublicly Available
Frontmatter
I -
Download PDFRequires Authentication UnlicensedLicensed
Acknowledgment
VII -
Download PDFRequires Authentication UnlicensedLicensed
Preface
IX -
Download PDFRequires Authentication UnlicensedLicensed
Contents
XI -
Download PDFRequires Authentication UnlicensedLicensed
1. Introduction
1 -
Download PDFRequires Authentication UnlicensedLicensed
2. Preliminaries
11 -
Download PDFRequires Authentication UnlicensedLicensed
3. Fractional integral identities
21 -
Download PDFRequires Authentication UnlicensedLicensed
4. Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
65 -
Download PDFRequires Authentication UnlicensedLicensed
5. Hermite-Hadamard inequalities involving Hadamard fractional integrals
253 -
Download PDFRequires Authentication UnlicensedLicensed
Bibliography
361 -
Download PDFRequires Authentication UnlicensedLicensed
About the authors
373 -
Download PDFRequires Authentication UnlicensedLicensed
Index
375
-
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com