【摘要】 本文构造了张量积空间H[0,a](?)H[0,6],并证明其是再生核空间.在这一空间讨论了二元最佳插值逼近算子,给出了其显式表达式,并证明它对任意加密的矩形网格节点系是一致收敛的,且误差单调下降.更多还原

【Abstract】 A tensor product space H[0,a](?)H[0,6] is constructed, which has reproducing kernel. The authors show the explicit representation of the best interpolation operator for the bivariate real functions, which is not in polynomial form. Furthermore, prove that the representation is convergent uniformly and the error of interpolation decreases monotonically when rectangular grid knots are thickened infinitely.更多还原