Geodesic
Splicing n-Convex Functions using Splines
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 107-109

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

It is proved that a regular piecewise n-convex function differs from an n-convex function only by a polynomial spline of degree n - 1. The argument is given in terms of Peano and de la Vallée Poussin derivatives.
DOI : 10.4153/CMB-1980-015-9
Mots-clés : 26A51, 41A15, n-convex function, Splines 
Cross, G. E. Splicing n-Convex Functions using Splines. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 107-109. doi: 10.4153/CMB-1980-015-9
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[4] 4. Prenter, P. M., Splines and Variational Methods, John Wiley, 1975. Google Scholar

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