SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS

被引：79

作者：

Liu, Wenjun ^{[1
]}

Zhuang, Hefeng ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Convex functions; Hermite-Hadamard inequality; Holder integral inequality; Quantum estimate; INTEGRAL-INEQUALITIES; QUASI-CONVEXITY; (ALPHA;

D O I：

10.11948/2017031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, based on a new quantum integral identity, we establish some quantum estimates of Hermite-Hadamard type inequalities for convex functions. These results generalize and improve some known results given in literatures.

引用

页码：501 / 522

页数：22

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