Choquet integral analytic inequalities

被引：1

作者：

Anastassiou, George A. ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2020年 / 65卷 / 01期

关键词：

Choquet integral; distorted Lebesgue measure; analytic inequalities; fractional inequalities; monotonicity and convexity;

D O I：

10.24193/subbmath.2020.1.02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on an amazing result of Sugeno [15], we are able to transfer classic analytic integral inequalities to Choquet integral setting. We give Choquet integral inequalities of the following types: fractional-Polya, Ostrowski, fractional Ostrowski, Hermite-Hadamard, Simpson and Iyengar. We provide several examples for the involved distorted Lebesgue measure.

引用

页码：17 / 28

页数：12

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