广义Baskakov算子线性组合加权逼近的点态定理

Pointwise Theorems of Weighted Approximation by Combination of Generalized Baskakov Operators

引用新的Ditzian-Totik光滑模ωrφλ(f,t)ω和Jocobi权函数ω(x)=xa(1+αx)-b,0<a<1,b>0,研究了广义Baskakov算子线性组合的加权逼近,给出了加权逼近的点态逼近定理.

The weighted approximation by combination of generalized Baskakov operators using a new weighted modili of smoothness ω^γφ^λ（f,t）, and a new Jacobi weighted ω（x）=x^a（1＋ax）^-b,0〈a〈1,b〉0 are studied,and the pointwise theorems of weighted approximation are given.