摘要
本文引进了一类以xk=2kπ2n+1(k=0,1,…,2n)为插值结点的新的Lagrange型三角插值多项式,并讨论了该插值多项式在LP空间中的逼近性质。
In this paper we introduce a new kind of Lagrange type trigonometric interpolation polynomials with the nodes x k=2kπ2n+1(k=0,1, ,2n) and consider the convergence of these operators in L P spaces.