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几种多重线性约束逼近的特征问题
引用本文:许树声.几种多重线性约束逼近的特征问题[J].江南大学学报(自然科学版),1991(2).
作者姓名:许树声
作者单位:江南大学基础课部
摘    要: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。

关 键 词:逼近  特征  线性约束  局部凸锥  约束导数值域

Characterization Problem of Best Approximations under Several Kinds of Multiple Linear Constraintions
Xu Shusheng.Characterization Problem of Best Approximations under Several Kinds of Multiple Linear Constraintions[J].Journal of Southern Yangtze University:Natural Science Edition,1991(2).
Authors:Xu Shusheng
Institution:Dept.of Basic Courses
Abstract: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.
Keywords:Approximation  characterization  linear constraintion  locally convex cone  restricted ranges of derivatives
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