Geodesic
An L p Saturation Theorem for Splines
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 957-966

Voir la notice de l'article provenant de la source Cambridge University Press

Let 1 be a subdivision of [0, 1], and let denote the class of functions whose restriction to each sub-interval is a polynomial of degree at most k. Gaier [1] has shown that for uniform subdivisions △n (that is, subdivisions for which if and only if f is a polynomial of degree at most k. Here, and subsequently, denotes the usual norm in Lp[0, 1], 1 ≦ p ≦ ∞, and we should emphasize that functions differing only on a set of Lebesgue measure zero are identified. 
Butler, G. J.; Richards, F. B. An L p Saturation Theorem for Splines. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 957-966. doi: 10.4153/CJM-1972-096-1
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[1] 1. Gaier, D., Saturation bei Spline-Approximation und Quadratur, Numer. Math. 16 (1970), 129–140. Google Scholar

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