Search Results - subject:"bivariate Bernstein polynomials"

Saturation in multivariate simultaneous approximation

Cárdenas-Morales, D.; Fraguela, A.; Garrancho, P. - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 10, pp. 2098-2102

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...

Persistent link: https://www.econbiz.de/10011050706

Improving certain Bernstein-type approximation processes

Cárdenas-Morales, D.; Muñoz-Delgado, F.J. - In: Mathematics and Computers in Simulation (MATCOM) 77 (2008) 2, pp. 170-178

This paper deals with a modification of the classical Bernstein polynomials defined on the unit simplex. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2+αx and y2+βy with α,β∈[0,+∞). We study the convergence properties of the new...

Persistent link: https://www.econbiz.de/10011050604

Consistent Estimation of Shape-Restricted Functions and Their Derivatives

Chak, Pok Man; Madras, Neal; Smith, J. Barry - Department of Economics, York University - 2001

-decreasing, and strictly concave. A sieve estimator based on bivariate Bernstein polynomials is proposed. This estimator is drawn from …

Persistent link: https://www.econbiz.de/10005558016

Flexible Functional Forms Bernstein Polynomials

Chak, Pok Man; Madras, Neal; Smith, J. Barry - Department of Economics, York University - 2001

Motivated by the economic theory of cost functions, bivariate Bernstein polynomials are considered for approximating … interesting properties of bivariate Bernstein polynomials, including bimonotonicity for concave functions. Moreover, using the … by the bivariate Bernstein polynomials occurs when the underlying true function ishomogeneous of degree one. However …

Persistent link: https://www.econbiz.de/10005558037