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

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...

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Published inJournal of inequalities and applications Vol. 2018; no. 1; pp. 161 - 15
Main Authors Adil Khan, Muhammad, Iqbal, Arshad, Suleman, Muhammad, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
convex function
Green’s function
Hermite–Hadamard inequality
Inequalities
Mathematics
Mathematics and Statistics
Monotone functions
convex function
Green’s function
Hermite–Hadamard inequality
26D15
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ISSN1029-242X
1025-5834
1029-242X
DOI10.1186/s13660-018-1751-6

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Summary: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.
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1751-6