期刊论文详细信息
Advances in Difference Equations | |
Some fractional Hermite–Hadamard-type integral inequalities with s - \((\alpha,m)\) -convex functions and their applications | |
article | |
Liu, R. N.1  Xu, Run1  | |
[1] School of Mathematical Science, Qufu Normal University | |
关键词: Hermite–Hadamard inequality; Convex functions; Riemann–Liouville fractional integral; Power-mean inequality; | |
DOI : 10.1186/s13662-021-03231-0 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
Under the new concept of s- $(\alpha,m)$ -convex functions, we obtain some new Hermite–Hadamard inequalities with an s- $(\alpha,m)$ -convex function. We use these inequalities to estimate Riemann–Liouville fractional integrals with second-order differentiable convex functions to enrich the Hermite–Hadamard-type inequalities. We give some applications to special means.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202108070004815ZK.pdf | 1415KB | download |