Saturation in multivariate simultaneous approximation

D. Cárdenas-Morales, A. Fraguela and P. Garrancho

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 2098-2102

Abstract: 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.

Keywords: Saturation; Bivariate Bernstein polynomials; Shape preserving property; Asymptotic formula (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:2098-2102

DOI: 10.1016/j.matcom.2010.12.013

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