Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Abstract In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as...

Full description

Bibliographic Details
Main Authors: Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Hermite–Hadamard inequality
convex function
Green’s function
Online Access:http://link.springer.com/article/10.1186/s13660-018-1751-6
Description
Summary:Abstract In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as well as monotone functions.
ISSN:1029-242X

Similar Items