修正Bernstein算子加Jacobi权的Voronovskaja型估计  

Estimations of Voronovskaja type weighted by Jacobi with a modified Bernstein operators

作　　者：夏荣荣 虞旦盛[1] XIA Rongrong;YU Dansheng(Department of Mathematics,Hangzhou Normal Universily,Hangzhou 310036,China)

机构地区：[1]杭州师范大学数学系,浙江杭州310036

出　　处：《浙江大学学报（理学版）》2021年第2期189-195,共7页Journal of Zhejiang University（Science Edition）

摘　　要：研究了修正Bernstein算子对奇性函数的加权逼近性质,得到其逼近定理,建立了修正Bernstein算子加Jacobi权的Voronovskaja型估计,值得注意的是,Jacobi权函数中的参数a,b无上界限制。The weighted approximation for the functions with singularities by a type of modified Bernstein operators was studied.The direct theorem and the estimation of Voronovskaja type with Jocobi weights were obtained.It should be noted that the parameters a and b in the Jacobi weight functions have no restrictions on the upper bounds.

关 键 词：BERNSTEIN算子 加权逼近 JACOBI权 Voronovskaja型估计 

分 类 号：O174.41[理学—数学]