Exploring Advanced Versions of Hermite-Hadamard and Trapezoid-Type Inequalities by Implementation of Fuzzy Interval-Valued Functions

被引：1

作者：

Niu, Yaqun ^{[1
]}

Ali, Rana Safdar ^{[2
]}

Talib, Naila ^{[2
]}

Mubeen, Shahid ^{[3
]}

Rahman, Gauhar ^{[4
]}

Yildiz, Cetin ^{[5
]}

Awwad, Fuad A. ^{[6
]}

Ismail, Emad A. A. ^{[6
]}

机构：

[1] Taiyuan Univ, Dept Math, Taiyuan 030032, Shanxi, Peoples R China

[2] Univ Lahore, Dept Math & Stat, Lahore, Pakistan

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

[4] Hazara Univ, Dept Math & Stat, Mansehra 21300, Pakistan

[5] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkiye

[6] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2024年 / 2024卷

关键词：

FRACTIONAL INTEGRAL-INEQUALITIES;

D O I：

10.1155/2024/1988187

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The extension of interval-valued and real-valued functions known as fuzzy interval-valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h-Godunova-Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite-Hadamard and trapezoid-type fuzzy fractional integral by the implementation of generalized fuzzy fractional operators having modified version of the Bessel-Maitland E1vBMF function as its kernel. Moreover, we extract some well-known inequalities from our main results.

引用

页数：14

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