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
收藏
页数：21
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