Fractional Hermite-Hadamard Inequalities / / JinRong Wang, Michal Fečkan.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
• VerfasserIn: Wang, JinRong,; Fečkan, Michal,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2018]; ©2018
• Year of Publication: 2018
• Language: English
• Series: Fractional Calculus in Applied Sciences and Engineering , 5
• Physical Description: 1 online resource (XII, 375 p.)
• Other title: Frontmatter --; Acknowledgment --; Preface --; Contents --; 1. Introduction --; 2. Preliminaries --; 3. Fractional integral identities --; 4. Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals --; 5. Hermite-Hadamard inequalities involving Hadamard fractional integrals --; Bibliography --; About the authors --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110523621; 9783110762488; 9783110719550; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• ISSN: 2509-7210
• DOI: 10.1515/9783110523621
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: JinRong Wang, Michal Fečkan.

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. ContentsIntroductionPreliminariesFractional integral identitiesHermite-Hadamard inequalities involving Riemann-Liouville fractional integralsHermite-Hadamard inequalities involving Hadamard fractional integrals