Fractional Hermite-Hadamard inequalities /:
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...
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| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | Fractional calculus in applied sciences and engineering ;
v. 5. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 371 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110522440 3110522446 9783110523621 3110523620 9783110523638 3110523639 |
Internformat
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| 505 | 0 | 0 | |t Frontmatter -- |t Acknowledgment -- |t Preface -- |t Contents -- |t 1. Introduction -- |t 2. Preliminaries -- |t 3. Fractional integral identities -- |t 4. Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals -- |t 5. Hermite-Hadamard inequalities involving Hadamard fractional integrals -- |t Bibliography -- |t About the authors -- |t Index. |
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| contents | 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. |
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| discipline | Mathematik |
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| spelling | Wang, JinRong (Mathematics professor), author. http://id.loc.gov/authorities/names/n2016044951 Fractional Hermite-Hadamard inequalities / Jinrong Wang, Michal Fečkan. Berlin ; Boston : De Gruyter, [2018] 1 online resource (xii, 371 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Fractional calculus in applied sciences and engineering ; volume 5 Includes bibliographical references and index. 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. 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. Online resource; title from digital title page (viewed on April 01, 2019). Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Dérivées fractionnaires. Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Fractional calculus fast Electronic book. Fečkan, Michal, author. http://id.loc.gov/authorities/names/nb2008013845 has work: Fractional hermite-hadamard inequalities (Text) https://id.oclc.org/worldcat/entity/E39PCH6C7Xgrv8fwQtbG9MwCFC https://id.oclc.org/worldcat/ontology/hasWork Print version: Wang, JinRong (Mathematics professor). Fractional Hermite-Hadamard inequalities. Berlin ; Boston : Walter de Gruyter GmbH, [2018] 9783110522204 (DLC) 2018008278 (OCoLC)1035217525 Fractional calculus in applied sciences and engineering ; v. 5. http://id.loc.gov/authorities/names/no2017144168 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1819185 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1819185 Volltext |
| spellingShingle | Wang, JinRong (Mathematics professor) Fečkan, Michal Fractional Hermite-Hadamard inequalities / Fractional calculus in applied sciences and engineering ; 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. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Dérivées fractionnaires. Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Fractional calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93004015 http://id.loc.gov/authorities/subjects/sh85018802 |
| title | Fractional Hermite-Hadamard inequalities / |
| title_alt | 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. |
| title_auth | Fractional Hermite-Hadamard inequalities / |
| title_exact_search | Fractional Hermite-Hadamard inequalities / |
| title_full | Fractional Hermite-Hadamard inequalities / Jinrong Wang, Michal Fečkan. |
| title_fullStr | Fractional Hermite-Hadamard inequalities / Jinrong Wang, Michal Fečkan. |
| title_full_unstemmed | Fractional Hermite-Hadamard inequalities / Jinrong Wang, Michal Fečkan. |
| title_short | Fractional Hermite-Hadamard inequalities / |
| title_sort | fractional hermite hadamard inequalities |
| topic | Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Dérivées fractionnaires. Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Fractional calculus fast |
| topic_facet | Fractional calculus. Calculus. Dérivées fractionnaires. Calcul infinitésimal. calculus. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Calculus Fractional calculus Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1819185 |
| work_keys_str_mv | AT wangjinrong fractionalhermitehadamardinequalities AT feckanmichal fractionalhermitehadamardinequalities |