Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

被引：27

作者：

Budak, Huseyin ^{[2
]}

Kara, Hasan ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

Khan, Sundas ^{[4
]}

Chu, Yuming ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China

[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

[4] GC Women Univ, Dept Math, Sialkot, Pakistan

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

关键词：

fractional integrals; Hermite-Hadamard inequality; interval-valued functions; BOUNDS; CALCULUS;

D O I：

10.1515/math-2021-0067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.

引用

页码：1081 / 1097

页数：17

共 50 条

[1] FRACTIONAL HERMITE-HADAMARD-TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS
Budak, Huseyin
Tunc, Tuba
Sarikaya, Mehmet Zeki
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (02) : 705 - 718
[2] Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions
Vivas-Cortez, Miguel J. J.
Kara, Hasan
Budak, Huseyin
Ali, Muhammad Aamir
Chasreechai, Saowaluck
OPEN MATHEMATICS, 2022, 20 (01): : 1887 - 1903
[3] FRACTIONAL QUANTUM HERMITE-HADAMARD-TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS
Cheng, Haiyang
Zhao, Dafang
Zhao, Guohui
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (09)
[4] Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
Hasan Kara
Hüseyin Budak
Muhammad Aamir Ali
Mehmet Zeki Sarikaya
Yu-Ming Chu
Advances in Difference Equations, 2021
[5] On the Hermite-Hadamard-type inequalities for co-ordinated convex function via fractional integrals
Sarikaya, Mehmet Zeki
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (02) : 134 - 147
[6] Some fractional Hermite-Hadamard-type inequalities for interval-valued coordinated functions
Shi, Fangfang
Ye, Guoju
Zhao, Dafang
Liu, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[7] Hermite-Hadamard-type inequalities for interval-valued coordinated convex functions involving generalized fractional integrals
Kara, Hasan
Ali, Muhammad Aamir
Budak, Huseyin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 104 - 123
[8] Weighted Hermite-Hadamard type inclusions for products of co-ordinated convex interval-valued functions
Kara, Hasan
Budak, Huseyin
Ali, Muhammad Aamir
Sarikaya, Mehmet Zeki
Chu, Yu-Ming
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[9] On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions
Zhao, Dafang
Zhao, Guohui
Ye, Guoju
Liu, Wei
Dragomir, Silvestru Sever
MATHEMATICS, 2021, 9 (19)
[10] Hermite-Hadamard-type inequalities for the interval-valued approximatelyh-convex functions via generalized fractional integrals
Zhao, Dafang
Ali, Muhammad Aamir
Kashuri, Artion
Budak, Huseyin
Sarikaya, Mehmet Zeki
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

← 1 2 3 4 5 →