Hermite-Hadamard's trapezoid and mid-point type inequalities on a disk

被引：5

作者：

Delavar, M. Rostamian ^{[1
]}

Dragomir, S. S. ^{[2
]}

De La Sen, M. ^{[3
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, Bojnord, Iran

[2] Victoria Univ, Coll Engn & Sci, Math, Melbourne, Vic, Australia

[3] Univ Basque Country, Inst Res & Dev Proc, Bilbao, Spain

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

Hermite-Hadamard inequality; Convex functions of double variable; Trapezoid and mid-point type inequalities; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1186/s13660-019-2061-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality on the disk of center C=(a,b) and radius R, D(C,R)R2, are investigated. It is shown that the estimated value obtained in the trapezoid and mid-point type inequalities has a relation with the integral of the partial derivative of the considered function on (C,R), the boundary of D(C,R).

引用

页数：8

共 11 条

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