In this paper we solve a remained problem in[2],whether the following estimate approximation for the class f∈C[-1,1]∩BV by Lagrange interpolation based on the Jacobi abscissasi,L_n^(α,β)(f,x)-f(x) =Ο(1/n)holds,i...In this paper we solve a remained problem in[2],whether the following estimate approximation for the class f∈C[-1,1]∩BV by Lagrange interpolation based on the Jacobi abscissasi,L_n^(α,β)(f,x)-f(x) =Ο(1/n)holds,ifα≠β≥-1.展开更多
基金The project is supported by the Natural Science Foundation of Zhejiang Province.
文摘In this paper we solve a remained problem in[2],whether the following estimate approximation for the class f∈C[-1,1]∩BV by Lagrange interpolation based on the Jacobi abscissasi,L_n^(α,β)(f,x)-f(x) =Ο(1/n)holds,ifα≠β≥-1.
