Abstract

We determine shape preserving regions for the 2-points Hermite subdivision scheme introduced by Merrien in [9]. These regions contain the shape preserving families presented in [10] and [12].

Keywords

Hermite subdivision Shape constraints Bernstein representations

Referencia

A. Cordero and J.R. Torregrosa (2007): On interpolation variants of Newton-s method. Proceedings of the 2nd International conference on approximation methods and numerical modelling in enviorment and natural resources. Granada, July 11th-13th. Pp: 55-60.