关于Sugeno积分的Favard不等式的一个版本

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI:10.22130/SCMA.2020.119368.728

B. Daraby, Hassan Ghazanfary Asll, I. Sadeqi

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引用次数: 0

摘要

本文给出了一种特殊情况下的Favard不等式，并将其推广到模糊测度空间$(X,Sigma,mu)$中的Sugeno积分，其中$mu$为Lebesgue测度。我们考虑两种情况，当函数是凹的和当函数是凸的。此外，为了说明定理，还给出了几个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Version of Favard's Inequality for the Sugeno Integral

In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.

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来源期刊

Communications in Mathematical Analysis Mathematics-Applied Mathematics

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