A new generalization of some quantum integral inequalities for quantum differentiable convex functions

被引：38

作者：

Li, Yi-Xia ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Budak, Huseyin ^{[3
]}

Abbas, Mujahid ^{[4
]}

Chu, Yu-Ming ^{[5
]}

机构：

[1] Xiangnan Univ, Coll Math & Finance, Chenzhou 423000, Peoples R China

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

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

[4] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Hermite– Hadamard inequality; Trapezoid inequalities; Midpoint inequalities; Quantum calculus; Convex functions; HERMITE-HADAMARD INEQUALITIES; MIDPOINT-TYPE INEQUALITIES;

D O I：

10.1186/s13662-021-03382-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite-Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite-Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint-trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results.

引用

页数：15

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