Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions

被引：23

作者：

Ali, Muhammad Aamir ^{[1
]}

Budak, Huseyin ^{[2
]}

Murtaza, Ghulam ^{[3
]}

Chu, Yu-Ming ^{[4
]}

机构：

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

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

[3] Univ Management & Technol, Dept Math SSC, C-2, Lahore, Pakistan

[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Hermite-Hadamard inequality; (p; q)-integral; Quantum calculus; Interval-valued calculus; Interval-valued convex functions; INTEGRAL-INEQUALITIES; CALCULUS;

D O I：

10.1186/s13660-021-02619-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we introduce the notions of (p, q)-derivative and integral for interval-valued functions and discuss their fundamental properties. After that, we prove some new inequalities of Hermite-Hadamard type for interval-valued convex functions employing the newly defined integral and derivative. Moreover, we find the estimates for the newly proved inequalities of Hermite-Hadamard type. It is also shown that the results proved in this study are the generalization of some already proved research in the field of Hermite-Hadamard inequalities.

引用

页数：18

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