Favard’s solution is the limit of 𝑊^{𝑘,𝑝}-splines

Chui, C. K.; Smith, P. W.; Ward, J. D.

doi:10.1090/S0002-9947-1976-0422954-0

Favard’s solution is the limit of $W^{k,p}$-splines
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by C. K. Chui, P. W. Smith and J. D. Ward PDF

Trans. Amer. Math. Soc. 220 (1976), 299-305 Request permission

Abstract:

The purpose of this paper is to affirm a conjecture of C. de Boor, namely: The ${W^{k,p}}$-splines converge in ${W^{k,r}}[a,b]$ for all $r,1 \leqslant r < \infty$, to the Favard solution as p tends to infinity.

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