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约束值域广义多项式最佳一致逼近的强唯一性问题
引用本文:华一明.约束值域广义多项式最佳一致逼近的强唯一性问题[J].江南大学学报(自然科学版),1992,7(2):61-67.
作者姓名:华一明
作者单位:江南大学基础课部
摘    要:本文在许树声给出的一般情形下约束值域广义多项式最佳一致逼近的特征定理的基础上,建立起了该情形下最佳一致逼近的强唯一性定理及最佳逼近算子在 C(?)的一个子集上的连续性定理。

关 键 词:约束值域逼近  强唯一性  连续性

On Strong Uniqueness of Best Approxemation in Generalized with Restricted Ranges
Hua Yiming Dep''''t of Basic Courses.On Strong Uniqueness of Best Approxemation in Generalized with Restricted Ranges[J].Journal of Southern Yangtze University:Natural Science Edition,1992,7(2):61-67.
Authors:Hua Yiming Dep't of Basic Courses
Institution:Hua Yiming Dep't of Basic Courses
Abstract:On the basis of the characterization theorem of a best uniform approximation from the set of generalized polynomials with restricted ranges in general cases put forward by Xu Shusheng,this paper establishes a strong uniqueness theorem and a continuity theorem of the operator of the best approximation on a subset of C
Keywords:approximation with restricted ranges  strong uniqueness  continuity
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