New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions

被引：78

作者：

Ali, Muhammad Aamir ^{[1
]}

Abbas, Mujahid ^{[2
]}

Budak, Huseyin ^{[3
]}

Agarwal, Praveen ^{[4
]}

Murtaza, Ghulam ^{[5
]}

Chu, Yu-Ming ^{[6
]}

机构：

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

[2] Govt Coll Univ, Dept Math, Lahore, Pakistan

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

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

[5] Univ Management Technol, Dept Math, Lahore, Pakistan

[6] Dept Math, Huzhou Univ, Huzhou, Peoples R China

来源：

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

关键词：

Simpson's <mml:mfrac><mml:mn>1</mml:mn><mml:mn>3</mml:mn></mml:mfrac> formula; Simpson's <mml:mfrac><mml:mn>3</mml:mn><mml:mn>8</mml:mn></mml:mfrac> formula; Integral inequalities; Quantum calculus; Preinvex functions; HERMITE-HADAMARD INEQUALITIES; INTEGRAL-INEQUALITIES; CONVEX;

D O I：

10.1186/s13662-021-03226-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we derive two generalized integral identities involving the q kappa 2-quantum integrals and quantum numbers, the results are then used to establish some new quantum boundaries for quantum Simpson's and quantum Newton's inequalities for q-differentiable preinvex functions. Moreover, we obtain some new and known Simpson's and Newton's type inequalities by considering the limit q -> 1- in the key results of this paper.

引用

页数：21

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