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.
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页数：16
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