Averaging sets: A generalization of mean values and spherical designs
Averaging sets: A generalization of mean values and spherical designs
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DOI：
10.1016/0001-8708(84)90022-7
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发表时间：
1984-06
影响因子：
1.7
通讯作者：
P. Seymour;T. Zaslavsky
中科院分区：
文献类型：
--
作者：
P. Seymour;T. Zaslavsky
给定几个函数f，，...，f，：[0，1]+ R，当然不能期望存在单个点x，在该点处，每个点都假定其平均值，但是根据加权平均值，存在一个容易的推广：存在至多m个点Xi和正权重oi和为1，使得对于j= 1，2，.，M.
Given several functions f,,..., f,:[0, 1]+ R, one cannot of course expect there to be a single point x at which every one assumes its mean value, but there is an easy generalization in terms of weighted averages: there exist at most m points xi and positive weights oi summing to 1 so that\’aifj (Xi)= I” fi dt for j= 1, 2,..., m.