Saturation of k-convex operators

  1. Cárdenas Vélez, David
  2. Garrancho García, Pedro
Livre:
VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001
  1. Madaune-Tort, Monique (coord.)

Éditorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza

ISBN: 84-96214-04-4

Année de publication: 2003

Pages: 161-168

Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)

Type: Communication dans un congrès

Résumé

In this paper we enrich a result of the authors on the local saturation of k-convex operators, so that it can be applied to more general situations. We deal with different shape properties of the operators and with different asymptotic expressions for them. Some applications are shown to the well known approximation operators of Bleimann-Butzer-Hahn, Kantorovich and to a generalized version of the Szász- Mirakyan operators.