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.

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Year of publication:	2011
Authors:	Cárdenas-Morales, D. ; Fraguela, A. ; Garrancho, P.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 81.2011, 10, p. 2098-2102
Publisher:	Elsevier
Subject:	Saturation \| Bivariate Bernstein polynomials \| Shape preserving property \| Asymptotic formula

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011050706