Quadrature rules associated with Baskakov quasi-interpolants

Paul Sablonnière (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Quadrature rules on the positive real half-line obtained by integrating the Baskakov quasi-interpolants described in \cite{MM, Sab7} are constructed and their asymptotic convergence orders are studied. These results are illustrated by some numerical examples. The formulas are based on series of values of the function on uniform partitions and are not comparable with Gauss quadrature rules.

Mots clés: quadrature rules; approximation operators

Domaines: Analyse numérique [math.NA]

Paul Sablonnière. Quadrature rules associated with Baskakov quasi-interpolants. 2014. ⟨hal-00959354⟩