Error estimates for approximations from control nets
The author notes that for a collection of functions \(B_ i(x)\) giving a partition of unity over a domain \(\Omega\), for a linear function \(L(b)=\sum b_ i B_ i\), one has \(\| L(b)-L(c)\|\leq\max\| b_ i-c_ i\|\). He applies the remark to several kinds of splines and rational \(B\)-spline functions to obtain uniform estimates.
scientific article; zbMATH DE number 166485