当前位置: X-MOL 学术Adv. Differ. Equ. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-01-21 , DOI: 10.1186/s13662-021-03226-x
Muhammad Aamir Ali , Mujahid Abbas , Hüseyin Budak , Praveen Agarwal , Ghulam Murtaza , Yu-Ming Chu

In this research, we derive two generalized integral identities involving the \(q^{\varkappa _{2}}\)-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 \(q\rightarrow 1^{-}\) in the key results of this paper.



中文翻译:

前不变函数的新的量子辛普森和量子牛顿型不等式的新量子边界

在这项研究中,我们导出了涉及\(q ^ {\ varkappa _ {2}} \)-量子积分和量子数的两个广义积分恒等式,然后将结果用于建立量子Simpson和量子牛顿的一些新的量子边界。q可微前不变函数的不等式。此外,通过在本文的关键结果中考虑极限\(q \ rightarrow 1 ^ {-} \),我们获得了一些新的和已知的Simpson和Newton型不等式。

更新日期:2021-01-21
down
wechat
bug