多元Tchebycheff逼近交换算法的收敛性

Convergence of Exchange Algorithm of Tchebycheff Approximation in Several Variables

本文给出C^2(D)中严格凸函数二元一次最佳逼近的特征、求二元一次最佳逼近多项式的交换算法并证明该算法的收敛性。

This paper gives the characterization of two-variable linear optimal approximation of strict convex functions in C^2(D), find the exchange algorithm of the polynomial of two-variable linear optimal approximation, and prove the convergence of this algorithm.