Weierstrass quasi-interpolants

Paul Sablonnière (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper, the expression of Weierstrass operators as differential operators on polynomials is used for the construction of associated quasi-interpolants. Then the convergence properties of these operators are studied.

Mots clés: Approximation by integral operators

Domaines: Analyse numérique [math.NA]

Paul Sablonnière. Weierstrass quasi-interpolants. Journal of Approximation Theory, 2014, 180, pp.32-48. ⟨10.1016/j.jat.2013.12.003⟩. ⟨hal-00832861⟩