Interval Fejer-Type Inequalities for Left and Right-λ-Preinvex Functions in Interval-Valued Settings

被引：19

作者：

Saeed, Tareq ^{[1
]}

Khan, Muhammad Bilal ^{[2
]}

Treanta, Savin ^{[3
,4
,5
]}

Alsulami, Hamed H. ^{[1
]}

Alhodaly, Mohammed Sh ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan

[3] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania

[4] Acad Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania

[5] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr SFAI, Bucharest 060042, Romania

来源：

AXIOMS | 2022年 / 11卷 / 08期

关键词：

left and right lambda-preinvex interval-valued function; interval Riemann integral; Hermite-Hadamard-type inequality; Hermite-Hadamard-Fejer-type inequality;

D O I：

10.3390/axioms11080368

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For left and right lambda-preinvex interval-valued functions (left and right lambda-preinvex IVFs) in interval-valued Riemann operator settings, we create Hermite-Hadamard (H-H) type inequalities in the current study. Additionally, we create Hermite-Hadamard-Fejer (H-H-Fejer)-type inequalities for preinvex functions of the left and right interval-valued type under some mild conditions. Moreover, some exceptional new and classical cases are also obtained. Some useful examples are also presented to prove the validity of the results.

引用

页数：16

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