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

[11] Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions
Lai, Kin Keung
Bisht, Jaya
Sharma, Nidhi
Mishra, Shashi Kant
MATHEMATICS, 2022, 10 (02)
[12] ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED CONVEX FUNCTIONS
Akkurt, Abdullah
Sarikaya, M. Zeki
Budak, Huseyin
Yildirim, Huseyin
APPLIED AND COMPUTATIONAL MATHEMATICS, 2021, 20 (03) : 408 - 420
[13] Fractional Hermite–Hadamard type inequalities for interval-valued functions
Xuelong Liu
Gouju Ye
Dafang Zhao
Wei Liu
Journal of Inequalities and Applications, 2019
[14] ON SOME NEW FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX AND CO-ORDINATED CONVEX FUNCTIONS
Ali, Muhammad Aamir
Budak, Huseyin
Sakhi, Sadia
KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (04): : 955 - 971
[15] On Hermite-Hadamard type inequalities for co-ordinated trigonometrically ρ-convex functions
Budak, Huseyin
Kara, Hasan
Kiris, Mehmet Eyup
TBILISI MATHEMATICAL JOURNAL, 2020, 13 (02) : 1 - 26
[16] On some Hermite-Hadamard-type integral inequalities for co-ordinated (alpha, QC)- and (alpha, CJ)-convex functions
Xi, Bo-Yan
Sung, Jian
Bai, Shu-Ping
TBILISI MATHEMATICAL JOURNAL, 2015, 8 (02) : 75 - 86
[17] Some weighted Hermite-Hadamard type inclusions based on interval-valued convex and co-ordinated convex mappings
Kara, Hasan
Sarikaya, Mehmet Zeki
Budak, Huseyin
FILOMAT, 2024, 38 (13) : 4467 - 4483
[18] Fractional Hermite-Hadamard type inequalities for interval-valued functions
Liu, Xuelong
Ye, Gouju
Zhao, Dafang
Liu, Wei
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
[19] FRACTIONAL HERMITE HADAMARD'S TYPE INEQUALITY FOR THE CO-ORDINATED CONVEX FUNCTIONS
Tunc, Tuba
Sarikaya, Mehmet Zeki
Yaldiz, Hatice
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 11 (01): : 3 - 29
[20] Fractional Hermite-Hadamard type inequalities for co-ordinated prequasiinvex functions
Meftah, B.
Souahi, A.
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2019, 15 (01) : 19 - 32

← 1 2 3 4 5 →