当前位置: X-MOL 学术J. Inequal. Appl. › 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.)
Dunkl-type generalization of the second kind beta operators via \((p,q)\)-calculus
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2021-01-04 , DOI: 10.1186/s13660-020-02534-2
Md. Nasiruzzaman , Abdullah Alotaibi , M. Mursaleen

The main purpose of this research article is to construct a Dunkl extension of $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter. We obtain Korovkin-type approximation theorems, local approximations, and weighted approximations. Further, we study the rate of convergence by using the modulus of continuity, Lipschitz class and Peetre’s K-functionals.

中文翻译:

第二类beta运算符通过\((p,q)\)-演算的Dunkl型泛化

本研究文章的主要目的是通过应用新参数构造第二类Szász-Beta算子的$(p,q)$-变量的Dunkl扩展。我们获得Korovkin型逼近定理,局部逼近和加权逼近。此外,我们通过使用连续模数,Lipschitz类和Peetre的K函数来研究收敛速度。
更新日期:2021-01-04
down
wechat
bug