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

被引：0

作者：

Liu, R. N. ^{[1
]}

Xu, Run ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hermite-Hadamard inequality; Convex functions; Riemann-Liouville fractional integral; Power-mean inequality; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1186/s13662-021-03231-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：16

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