1.

Record Nr.

UNINA9910820621303321

Autore

Wang JinRong (Mathematics professor)

Titolo

Fractional Hermite-Hadamard inequalities / / JinRong Wang, Michal Feckan

Pubbl/distr/stampa

Berlin ; ; Boston : , : De Gruyter, , [2018]

©2018

ISBN

3-11-052244-6

3-11-052362-0

Descrizione fisica

1 online resource (390 pages)

Collana

Fractional calculus in applied sciences and engineering ; ; Volume 5

Disciplina

515/.83

Soggetti

Fractional calculus

Calculus

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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