Hermite-Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova-Levin Functions

被引：23

作者：

Zhang, Xiaoju ^{[1
]}

Shabbir, Khurram ^{[2
]}

Afzal, Waqar ^{[2
]}

Xiao, He ^{[1
]}

Lin, Dong ^{[3
]}

机构：

[1] Xian Traff Engn Inst, Xian 710300, Shaanxi, Peoples R China

[2] Govt Coll Univ, Dept Math, Lahore, Pakistan

[3] Xijing Univ, Sci Res Dept, Xian 710123, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

D O I：

10.1155/2022/3830324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The generalization of Godunova-Levin interval-valued functions has been drastically studied in last few decades, as it has a remarkable applications in both pure and applied mathematics. The goal of this study is to introduce the notion of h-Godunova-Levin interval-valued functions. We establish Hermite-Hadamard and Jensen-type inequalities via Riemann integral operator.

引用

页数：12

共 30 条

[1] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED MULTIPLICATIVE INTEGRALS
Ali, Muhammad Aamir
Zhang, Zhiyue
Budak, Huseyin
Sarikaya, Mehmet Zeki
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (02): : 1428 - 1448
[2] New refinements of the Hadamard inequality on coordinated convex function
Almutairi, Ahoud
Kilicman, Adem
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[3] Some Integral Inequalities for h-Godunova-Levin Preinvexity
Almutairi, Ohud
Kilicman, Adem
[J]. SYMMETRY-BASEL, 2019, 11 (12):
[4] Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities
Bombardelli, Mea
Varosanec, Sanja
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) : 1869 - 1877
[5] Breckner WW., 1978, PUBL I MATH, V23, P13
[6] Jensen's inequality type integral for fuzzy-interval-valued functions
Costa, T. M.
[J]. FUZZY SETS AND SYSTEMS, 2017, 327 : 31 - 47
[7] Neural Network Output Optimization Using Interval Analysis
de Weerdt, E.
Chu, Q. P.
Mulder, J. A.
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (04): : 638 - 653
[8] Dragomir SS, 2016, MAT VESTN, V68, P45
[9] Dragomir S. S., 2015, Proyecciones (Antofagasta), V34, P323
[10] Dragomir S.S., 1995, SOOCHOW J MATH, V21, P335

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