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

被引：30

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

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