Abstract
Consider approximation of a given function f, on [0,1] say, by elements of S π k , i.e., by polynomial splines of order k (or, degree < k) on some partition $$({t_i})_0^{N + 1}of[0,1]\;0 = {t_0} < {t_1} \leqslant {t_2} \leqslant ... \leqslant {t_N} < {t_{n + 1}} = 1$$ .
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