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

被引：28

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 43 条

[1] Better Approaches forn-Times Differentiable Convex Functions
Agarwal, Praveen
Kadakal, Mahir
Iscan, Imdat
Chu, Yu-Ming
[J]. MATHEMATICS, 2020, 8 (06)
[2] Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
Ali, Muhammad Aamir
Budak, Huseyin
Akkurt, Abdullah
Chu, Yu-Ming
[J]. OPEN MATHEMATICS, 2021, 19 : 440 - 449
[3] On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
Ali, Muhammad Aamir
Alp, Necmettin
Budak, Huseyin
Chu, Yu-Ming
Zhang, Zhiyue
[J]. OPEN MATHEMATICS, 2021, 19 (01): : 427 - 439
[4] Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
Ali, Muhammad Aamir
Chu, Yu-Ming
Budak, Hueseyin
Akkurt, Abdullah
Yildirim, Hueseyin
Zahid, Manzoor Ahmed
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[5] New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
Ali, Muhammad Aamir
Abbas, Mujahid
Budak, Huseyin
Agarwal, Praveen
Murtaza, Ghulam
Chu, Yu-Ming
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[6] Ali MA, 2021, ADV DIFFER EQU-NY, V2021, DOI 10.1186/s13662-020-03163-1
[7] Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
Ali, Muhammad Aamir
Budak, Huseyin
Zhang, Zhiyue
Yildirim, Huseyin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 4515 - 4540
[8] [Anonymous], 2000, RGMIA MONOGRAPHS
[9] Breckner W.W., 1993, REV ANAL NUMER THEOR, V22, P39
[10] Some New Quantum Hermite-Hadamard-Like Inequalities for Coordinated Convex Functions
Budak, Huseyin
Ali, Muhammad Aamir
Tarhanaci, Meliha
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 186 (03) : 899 - 910

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