期刊论文详细信息
Journal of inequalities and applications | |
Generalized Hermite-Hadamard type inequalities involving fractional integral operators | |
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
【 预 览 】
Files | Size | Format | View |
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RO201902011112235ZK.pdf | 1292KB | download |