Title
A Hardy-type inequality for fuzzy integrals
Date Issued
01 October 2008
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Tarapacá
Abstract
In this paper, we prove a Hardy-type inequality for fuzzy integrals. More precisely, we show thatfenced({cauchy integral}01 fp (x) d x)frac(1, p + 1) ≥ {cauchy integral}01 fenced(frac(F, x))p d x,where p ≥ 1, f : [0, 1] → [0, ∞) is an integrable function and F (x) = {cauchy integral}0x f (t) d t. An analogous inequality is also obtained on the interval [0, ∞). © 2008 Elsevier Inc. All rights reserved.
Start page
178
End page
183
Volume
204
Issue
1
Language
English
OCDE Knowledge area
Matemáticas
Subjects
Scopus EID
2-s2.0-52049114422
Source
Applied Mathematics and Computation
ISSN of the container
00963003
Sponsor(s)
This work was supported by Conicyt-Chile through Projects Fondecyt 1040303, 1061244, and 1080438.
Sources of information:
Directorio de Producción Científica
Scopus