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Fractional Hermite-Hadamard inequalities / Jinrong Wang, Michal Fečkan.

By: Contributor(s): Material type: TextTextSeries: Fractional calculus in applied sciences and engineering ; v. 5.Publisher: Berlin ; Boston : De Gruyter, [2018]Description: 1 online resource (xii, 371 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110522440
  • 3110522446
  • 9783110523621
  • 3110523620
  • 9783110523638
  • 3110523639
Subject(s): Genre/Form: Additional physical formats: Print version:: Fractional Hermite-Hadamard inequalities.DDC classification:
  • 515/.83 23
LOC classification:
  • QA314 .W36 2018
Online resources:
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.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

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.

Description based on online resource; title from digital title page (viewed on April 01, 2019).

Master record variable field(s) change: 050

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