【摘要】 <正> 最近,文献[1],[2]讨论了三次Q型插值样条,给出了这类样条对函数的逼近度和误差的准确系数。记s(x)为三次Q型插值样条(见[1],[2]),[2]给出如下结果: 定理Y 设f(x)∈c~4[0,1],则有更多还原

【Abstract】 An error estimation, while S(h)(x) is an approximation of f(h)(x), i.e., |f(h)(x)-s(h)(x)|≤β(r,h)hr-k||f(r)||,k=0,..., min (r,3) will be given, where s(x) is a cubic Birkhoff spline with the knots 0 = x0<x1<..... <xn=1 and h= max0≤i≤n-1(xi+1-xi) satisfying s(xi) =f(x1), s(x1) =f"(x1), i = 0,...,nand the approximating coefficients β(r,k) are best possible.更多还原