Some New Estimates of Hermite-Hadamard Inequality with Application

被引：3

作者：

Zhang, Tao ^{[1
]}

Chen, Alatancang ^{[2
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Peoples R China

来源：

AXIOMS | 2023年 / 12卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Hermite-Hardamard inequality; convex function; integral inequalities; special means; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.3390/axioms12070688

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes several new inequalities of Hermite-Hadamard type for |f'|(q) being convex for some fixed q is an element of (0,1]. As application, some error estimates on special means of real numbers are given.

引用

页数：11

共 5 条

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[4] Inequalities for differentiable mappings with application to special means and quadrature formulae
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[J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (02) : 51 - 55
[5] [张涛 Zhang Tao], 2012, [数学的实践与认识, Mathematics in Practice and Theory], V42, P235

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