期刊论文详细信息
Journal of Inequalities and Applications | |
Generalized Hermite-Hadamard type inequalities involving fractional integral operators | |
Abdurrahman Gözpinar1  Erhan Set1  Muhammed Uzair Awan2  Muhammed Aslam Noor3  | |
[1] Department of Mathematics, Faculty of Science and Arts, Ordu University;Department of Mathematics, Government College University;Department of Mathematics, King Saud University; | |
关键词: Hermite-Hadamard inequality; convex function; Hölder inequality; fractional integral operator; | |
DOI : 10.1186/s13660-017-1444-6 | |
来源: DOAJ |
【 摘 要 】
Abstract 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.
【 授权许可】
Unknown