Generalized Hermite-Hadamard type inequalities involving fractional integral operators

Journal of Inequalities and Applications

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