On the generalization of some Hermite – Hadamard inequalities for functions with convex absolute values of the second derivatives via fractional integrals

We provide a unified approach to getting Hermite – Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann – Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality, Simpson’s inequality,...

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Bibliographic Details
Date:2018
Main Authors: Chen, F. X., Чен, Ф. Х.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1668
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal