A Hardy-type inequality for fuzzy integrals

被引：41
|
作者：
Roman-Flores, H. [1 ]
Flores-Franulic, A. [1 ]
Chalco-Cano, Y. [2 ]
机构：
[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile
[2] Univ Tarapaca, Dept Matemat, Arica, Chile
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 01期
关键词：
fuzzy measure; Sugeno integral; Hardy's inequality;
D O I：
10.1016/j.amc.2008.06.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a Hardy-type inequality for fuzzy integrals. More precisely, we show that (f(0)(1)f(p)(x)dx)(1/p+1) >= f(0)(1) (F/x)(p) dx, where p >= 1, f : [0, 1] -> [0; infinity) is an integrable function and F(x) = f(0)(x)f(t)dt. An analogous inequality is also obtained on the interval [0; infinity). (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：178 / 183
页数：6
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