Saturation in multivariate simultaneous approximation
In this paper we present a new result on the saturation of sequences of linear operators in a multivariate and simultaneous setting. Specifically, a small o saturation result is obtained for the partial derivatives of the classical Bernstein bivariate operators on the unit simplex. Solutions of boundary value problems for certain partial differential equations of elliptic type play an important role. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
saturation bivariate bernstein polynomials shape preserving property asymptotic formula