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Pré-Publication, Document De Travail Année : 2004

Near minimally normed univariate 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)

Identifiants

  • HAL Id : hal-00001430 , version 1

Citer

D. Barrera, M.-J. Ibanez, Paul Sablonnière, D. Sbibih. Near minimally normed univariate spline quasi-interpolants on uniform partitions. 2004. ⟨hal-00001430v1⟩
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