Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities
Abstract In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, som...
Main Authors: | Mustafa Gürbüz, Ahmet Ocak Akdemir, Saima Rashid, Erhan Set |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-06-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-020-02438-1 |
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