On some new quantum trapezoid-type inequalities for q-differentiable coordinated convex functions

被引：5

作者：

Wannalookkhee, Fongchan ^{[1
]}

Nonlaopon, Kamsing ^{[1
]}

Sarikaya, Mehmet Zeki ^{[2
]}

Budak, Huseyin ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

机构：

[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[2] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Hermite-Hadamard inequality; Convex function; Coordinated convex function; q-derivative; q-integral; q-calculus; MIDPOINT TYPE INEQUALITIES; HADAMARD INEQUALITY;

D O I：

10.1186/s13660-023-02917-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite-Hadamard inequalities for coordinated convex functions. We also show that the inequalities proved in this paper generalize the results given in earlier works. Moreover, we give some examples in order to demonstrate our main results.

引用

页数：25

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