Some fractional Hermite–Hadamard-type integral inequalities with s - \((\alpha,m)\) -convex functions and their applications

Advances in Difference Equations

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