n维子空间在n+1个点上的Dunham型联合最佳逼近  

BEST SIMULTANEOUS APPOXIMATION FOR DUNHAMTYPE BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

作　　者：罗祖华 

机构地区：[1]荆州师专数学系

出　　处：《荆州师专学报》1992年第5期10-16,共7页

摘　　要：本文在不假定 Haar 条件时.讨论了 n 维子空间在 n+1个给定点上的 Dunham 型联合最佳逼近问题,所得结论与文献[1]、[3]类似,并包含[1]、[3]的结果作为其特例,本文还证明了文献[2]中 Dunham 所提两个猜想在联合逼近的情形下是成立的.In this note,without assuming the Haar condition,we discuss the problem of best si- multaneous approximation for Dunham-type,i.e.,one of minimization of functional e(P)=max{‖ f^+-P‖,‖f^--P‖},on a set of n+1 points by an n-dimensional subspace,we obtain theorems similar to those in [1]and [3] and contain them as a special case.The two conjectures proposed by C. B.Dunham in [2] are proved true in this case of simultaneous approximation.

关 键 词：联合最佳逼近 Haar条件 唯一性 

分 类 号：O174.41[理学—数学]