几种多重线性约束逼近的特征问题

Characterization Problem of Best Approximations under Several Kinds of Multiple Linear Constraintions

本文讨论了用一族线性约束多项式集合的交逼近函数 f 时的特征问题。特别,用局部凸锥形的多项式集合及多重约束导数值域多项式的集合作一致逼近时,我们获得了明确的结果。

In this paper,the problem of characterization in approximation by a group of sets of linearly constrainted polynomials is approached.Clear and concrete results are achieved consequently in uniform approximation by polynomial sets of locally convex cone and by polynomial sets with multiply restricted renges of their derivatives.