Generalized Hermite-Hadamard type inequalities involving fractional integral operators

Journal of inequalities and applications

Erhan Set¹ 

关键词: Hermite-Hadamard inequality;    convex function;    Hölder inequality;    fractional integral operator;    26A33;    26D10;    26D15;    33B20;   

DOI  :  10.1186/s13660-017-1444-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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】

CC BY