A general multidimensional Hermite-Hadamard type inequality

被引：35

作者：

de la Cal, Jesus ^{[1
]}

Carcamo, Javier ^{[2
]}

Escauriaza, Luis ^{[3
]}

机构：

[1] Univ Basque Country, Dept Matemat Aplicada & Estadist & Invest Operat, Fac Ciencia & Tecnol, E-48080 Bilbao, Spain

[2] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain

[3] Univ Basque Country, Dept Matemat, Fac Ciencia & Tecnol, E-48080 Bilbao, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 02期

关键词：

Hermite-Hadamard inequalities; Convex functions; Brownian motion; Dirichlet problem;

D O I：

10.1016/j.jmaa.2009.03.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a stochastic approach, we establish a multidimensional version of the classical Hermite-Hadamard inequalities which holds for convex functions on general convex bodies. The result is closely related to the Dirichlet problem. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：659 / 663

页数：5

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