函数空间U_6和U_7的标准全正B-基的形成及其性质

The Construction and Properties of Normalized TotallyPositive B-basis of Spaces U_6 and U_7

给出了一种求解函数空间Un+3=span{1,t,…,tn,sint,cost}在n=3,4时的标准全正B 基的方法:首先定义了两列特殊的函数序列,然后用这两列特殊函数序列通过递推方法给出函数空间U6和U7的标准全正B 基.

A recursive method is given, by which it can construct the normalized totally positive Bbasis of space Un+3=span{1,t,...,tn,singt, cost} at n=3,4. It is defined two special functional sequences and get the normalized totally positive Bbasis of spaces U6 and U7 with the two special functional sequences using recursive method.