B样条拟插值算子在Lp空间的逼近

摘要

研究了以拟插值算子作为工具,针对m阶B样条能表示任意m-1次多项式,利用最小二乘法的向量表示,并依据推导出来的wj(f)的组合形式,求出了在Lp空间下B样条拟插值算子的逼近阶.%Based on the deduced combination of the wj(f), this paper studies and obtains B - spline interpolation operator approximation and its approximation order in the Lp space by using the interpolation operator as a tool, aiming at m - order B - spline energy which can represent any m-1 order polynomial.