Hermite-Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals

被引：2
|
作者：
Latif, Muhammad Amer [1 ]
机构：
[1] King Faisal Univ, Dept Basic Sci, Deanship Preparatory Year, Al Hufuf 31982, Al Hasa, Saudi Arabia
来源：
MATHEMATICS | 2023年 / 11卷 / 11期
关键词：
fuzzy measure; Sugeno integral; Hermite-Hadamard's inequality; Fubini's theorem; CHEBYSHEV TYPE INEQUALITIES; SUGENO INTEGRALS; RECTANGLE;
D O I：
10.3390/math11112432
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some estimates of third and fourth inequalities in Hermite-Hadamard-type inequalities for coordinated convex functions are proved using the non-additivity of the integrals and Fubini's theorem for fuzzy integrals. That is, the results are obtained in the fuzzy context and using the Lebesgue measure. Several examples are provided on how to evaluate these estimates in order to illustrate the obtained results.
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页数：25
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