Some New Quantum Hermite-Hadamard-Like Inequalities for Coordinated Convex Functions

被引：102

作者：

Budak, Huseyin ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Tarhanaci, Meliha ^{[1
]}

机构：

[1] Duzce Univ, Duzce, Turkey

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 186卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hermite-Hadamard inequality; q-Integrals; Quantum calculus; Coordinated convexity;

D O I：

10.1007/s10957-020-01726-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we give some new definitions for quantum integrals of two-variable functions. We establish quantum Hermite-Hadamard-type inequalities for coordinated convex functions via newly defined quantum integrals.

引用

页码：899 / 910

页数：12

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