a cubic constrained rational interpolating spline and its approximation 一种三次约束有理插值样条及其逼近性质
this paper first gives out an new derivation method of generalized interpolatin, splines, and then obtains the analytic properties of the generalized interpolating splines with obstacles by the new method 摘要本文由样条的极值性质出发给出了微分算子插值样条(即广义插值样条)新的推导方法。
in this paper, we construct a multi-resolution analysis of h2 ( i ) space using spline function and give the multi-level decomposition of a function through interpolating spline wavelet transform 本文中我们给出了由样条函数构造的h~2(i)空间上的多分辨分析并利用样条小波插值变换对函数进行多尺度分解。
thirdly, the effects on the cv rational interpolating splines from the perturbation of the two boundary conditions are analyzed . from this the error bounds of first and second derivatives of cv rational interpolating spline are given 然后,分析了两类端点条件的扰动对cv有理插值样条函数的影响,给出了它们在非均匀节点处的一阶和二阶导数值的误差界
thirdly, the effects on the cv rational interpolating splines from the perturbation of the two boundary conditions are analyzed . from this the error bounds of first and second derivatives of cv rational interpolating spline are given 然后,分析了两类端点条件的扰动对cv有理插值样条函数的影响,给出了它们在非均匀节点处的一阶和二阶导数值的误差界