Univariate spline quasi-interpolants and applications to numerical analysis

Paul Sablonnière (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentiation and approximation of zeros.

Mots clés: spline approximation; numerical integration; numerical differentiation

Domaines: Analyse numérique [math.NA]

Paul Sablonnière. Univariate spline quasi-interpolants and applications to numerical analysis. Rendiconti del Seminario Matematico, 2005, 63 (3), pp.211-222. ⟨hal-00004622⟩