On some new trapezoidal inequalities for qℵ2-quantum integrals via Green function

被引：0

作者：

Ali, Muhammad Aamir ^{[1
]}

Alp, Necmettin ^{[2
]}

Budak, Huseyin ^{[2
]}

Agarwal, Praveen ^{[3
,4
]}

机构：

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

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

[3] Anand Int Coll Engn, Dept Math, Jaipur, Rajasthan, India

[4] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

来源：

JOURNAL OF ANALYSIS | 2022年 / 30卷 / 01期

关键词：

Hermite-Hadamard inequality; q-integral; Quantum calculus; Convex functions; Green function; HERMITE-HADAMARD INEQUALITIES; CONVEX;

D O I：

10.1007/s41478-021-00323-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first obtain a new identity for q(aleph 2)-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q(aleph 2)-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q -> 1(-) in the newly obtained results.

引用

页码：15 / 33

页数：19

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