Generalized Hermite-Hadamard type inequalities involving fractional integral operators

In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of...

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Detalles Bibliográficos
Autores principales: Set, Erhan, Noor, Muhammed Aslam, Awan, Muhammed Uzair, Gözpinar, Abdurrahman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5517584/
https://www.ncbi.nlm.nih.gov/pubmed/28781495
http://dx.doi.org/10.1186/s13660-017-1444-6
Descripción
Sumario:In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral.

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