Overview

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

Full Product Details

Author:   JinRong Wang ,  Michal Fečkan
Publisher:   De Gruyter
Imprint:   De Gruyter
Volume:   5
Dimensions:   Width: 17.00cm , Height: 2.20cm , Length: 24.00cm
Weight:   0.777kg
ISBN:  

9783110522204

ISBN 10:   3110522209
Pages:   387
Publication Date:   22 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Table of Content: Chapter 1 Introduction 1.1 Fractional Calculus via Application and Computation 1.2 Motivation of Fractional Hermite-Hadamard’s Inequality 1.3 Main Contents Chapter 2 Preliminaries 2.1 Definitions of Special Functions and Fractional Integrals 2.2 Definitions of Convex Functions 2.3 Singular Integrals via Series 2.4 Elementary Inequalities Chapter 3 Fractional Integral Identities 3.1 Identities involving Riemann-Liouville Fractional Integrals 3.2 Identities involving Hadamard Fractional Integrals Chapter 4 Hermite-Hadamard’s inequalities involving Riemann-Liouville fractional integrals 4.1 Inequalities via Convex Functions 4.2 Inequalities via r-Convex Functions 4.3 Inequalities via s-Convex Functions 4.4 Inequalities via m-Convex Functions 4.5 Inequalities via (s, m)-convex Functions 4.6 Inequalities via Preinvex Convex Functions 4.7 Inequalities via (β,m)-geometrically Convex Functions 4.8 Inequalities via geometrical-arithmetically s-Convex Functions 4.9 Inequalities via (α,m)-logarithmically Convex Functions 4.10 Inequalities via s-GodunovaLevin functions 4.11 Inequalities via AG(log)-convex Functions Chapter 5 Hermite-Hadamard’s inequalities involving Hadamard fractional integrals 5.1 Inequalities via Convex Functions 5.2 Inequalities via s-e-ondition Functions 5.3 Inequalities via geometric-geometric co-ordinated Convex Function 5.4 Inequalities via Geometric-Geometric-Convex Functions 5.5 Inequalities via Geometric-Arithmetic-Convex Functions References

Reviews

Author Information

Jinrong Wang, Guizhou University, Guiyang, China; Michal Fečkan, Comenius University in Bratislava, Slovakia.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions