论文标题
误差限制用于二次和四个订单的分段指数花键插值
Error bounds for interpolation with piecewise exponential splines of order two and four
论文作者
论文摘要
给出了第四订单的分段指数花键对平滑函数插值的明确误差边界。用于立方花纹的估计值扩展到了一类天然的分段指数花键，这些花样将出现在多元多上载的构建中。使用误差估计值以归纳方式得出误差估计，该误差估计通过订单二的指数花键来插值来平滑函数。
Explicit pointwise error bounds for the interpolation of a smooth function by piecewise exponential splines of order four are given. Estimates known for cubic splines are extended to a natural class of piecewise exponential splines which are appearing in the construction of multivariate polysplines. The error estimates are derived in an inductive way using error estimates for the interpolation of a smooth function by exponential splines of order two.
