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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2005

Near minimally normed spline quasi-interpolants on uniform partitions

Résumé

Spline quasi-interpolants are local approximating operators for functions or discrete data. We consider the construction of discrete and integral spline quasi-interpolants on uniform partitions of the real line having small infinite norms. We call them near minimally normed quasi-interpolants: they are exact on polynomial spaces and minimize a simple upper bound of their infinite norms. We give precise results for cubic and quintic quasi-interpolants. Also the quasi-interpolation error is considered, as well as the advantage that these quasi-interpolants present when approximating functions with isolated discontinuities.
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Dates et versions

hal-00001430 , version 1 (07-04-2004)
hal-00001430 , version 2 (08-11-2004)

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Citer

Domingo Barrera-Rosillo, Maria José Ibañez-Pérez, Paul Sablonnière, Driss Sbibih. Near minimally normed spline quasi-interpolants on uniform partitions. Journal of Computational and Applied Mathematics, 2005, 181 (1), pp.211-233. ⟨10.1016/j.cam.2004.11.031⟩. ⟨hal-00001430v2⟩
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