关于Hermite-Hadamard积分不等式的推广（英文）

被引：2

作者：

连铁艳 ^{[1
]}

汤伟 ^{[2
]}

机构：

[1] College of Bioresources Chemical and Materials Engineering,Shaanxi University of Science and Technology

[2] College of Electrical and Information Engineering,Shaanxi University of Science and Technology

来源：

数学季刊(英文版) | 2017年 / 32卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

Some new inequalities of Hermite-Hadamard's integration are established. As for as inequalities about the righthand side of the classical Hermite-Hadamard's integral inequality refined by S Qaisar in [3], a new upper bound is given. Under special conditions,the bound is smaller than that in [3].

引用

页码：34 / 41

页数：8

共 6 条

[1]

On new inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex with applications.[J].Shahid Qaisar;Sabir Hussain;Chuanjiang He.Journal of the Egyptian Mathematical Society.2014, 1

[2] Hadamard-type inequalities for s-convex functions [J].

Kirmaci, U. S. ;

Bakula, M. Klaricic ;

Ozdemir, M. E. ;

Pecaric, J. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (01) :26-35

[3]

On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.[J]..Applied Mathematics and Computation.2003, 2

[4]

Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.[J]..Applied Mathematics and Computation.2002, 1

[5] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[6]

The Hadamard's inequality for s-convex functions in the second sense..Dragomir;S. S.;Fitzpatrick;S;.Demonstratio Math.1999,

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