广义Baskakov算子加权逼近的正逆定理

The Direct and Inverse Theorem of Weighted Approximation by Generalized Baskakov Operator

引用新的加权光滑模w2φλ(f,t)w和新的Jocabi权函数w(x)=x-a(1+αx)b(0≤a<1,b≥0),研究了广义Baskakov算子,得出了其加权逼近的点态结果,进一步统一和补充了以前的结果.

A new weighted moduli of smoothness ωφ^2λ（f,t）ω and a new Jocabi weighted ω（x）=x^-a（1＋ax）^b（0≤a〈1,b≥0） are studied,generalized Baskakov operator is introduced and the pointwise results of weighted approximation is obtained. So the previous results are further integreted and supplemented.