= Uniform-norm stability of a B-spline basis
{title2=$d_k^{-1}\|a\|_{\ell^\infty}\le\|\sum_i a_iN_i\|_\infty\le\|a\|_{\ell^\infty}$}
For a linearly independent partition-normalized <B-spline> basis, equivalence of norms gives a lower coefficient-stability constant. The upper bound follows from the <subpartition of unity for B-splines>. A knot-independent stability bound can be chosen depending on spline order. This norm comparison transfers matrix estimates to the <B-spline interpolation operator norm>.
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