Berwald type inequality for Sugeno integral

被引：36

作者：

Agahi, Hamzeh ^{[2
]}

Mesiar, Radko ^{[3
,4
]}

Yao Ouyang ^{[1
]}

Pap, Endre ^{[5
]}

Strboja, Mirjana ^{[5
]}

机构：

[1] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China

[2] Amirkabir Univ Technol, Dept Stat, Fac Math & Comp Sci, Tehran 15914, Iran

[3] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Fac Civil Engn, SK-81368 Bratislava, Slovakia

[4] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic

[5] Univ Novi Sad, Dept Math & Informat, Fac Sci & Math, Novi Sad 21000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 08期

关键词：

Nonadditive measure; Sugeno integral; Berwald's inequality;

D O I：

10.1016/j.amc.2010.10.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integral based on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4100 / 4108

页数：9

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