Geodesic
Periodic interpolation with a minimum norm of the $m$-th derivative
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 165-172 
S. I. Novikov. Periodic interpolation with a minimum norm of the $m$-th derivative. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 165-172. http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the interpolation problem for periodic data with a bounded lp-norm is investigated for an interpolating set of smooth periodic functions. In the cases when $p=2$ and $p=\infty$, the exact values of the $L_p$-norms of the $m$-th derivative of the best interpolants are found for a certain class of sequences.

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