HERMITE-HADAMARD TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS VIA STRONGLY h-CONVEX FUNCTIONS

被引：2

作者：

Xing, Yi ^{[1
]}

Jiang, Chaoqun ^{[1
]}

Ruan, Jianmiao ^{[1
]}

机构：

[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310014, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hermite-Hadamard type inequalities; strongly h-convex functions; Riemann-Liouville fractional integrals; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; SETS;

D O I：

10.7153/jmi-2022-16-87

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Hermite-Hadamard type inequalitis for Riemann-Liouville fractional integrals via strongly h-convex functions are established. Furthermore, we obtain some identi-ties related to the fractional integrals with n-times differentiable functions, and then gain mid-point type and trapezoid type error estimates connected with the Hermite-Hadamard type in-equalities, which generalize some known results.

引用

页码：1309 / 1332

页数：24

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