Convexity and Bernstein polynomials on \(k\)-simploids

DOI10.1007/BF02014716zbMath0805.41004MaRDI QIDQ1813958

Charles A. Micchelli, Wolfgang Dahmen

Publication date: 25 June 1992

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

maximum principlesemigroup techniquescube splin surfaces

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items

The genuine Bernstein-Durrmmeyer operator on a simplex, Jacobi polynomials in Bernstein form, On the composition and decomposition of positive linear operators (V), On some approximation processes and their associated parabolic problems, On the maximum principle of Bernstein polynomials on a simplex, Extension of Bernstein polynomials to infinite dimensional case, Developments in bivarite spline interpolation

Cites Work

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• The convexity of Bernstein polynomials over triangles
• Translates of multivariate splines
• Convergence of positive linear operators on C(X)
• Converse theorems of convexity for Bernstein polynomials over triangles
• The saturation class and iterates of the Bernstein polynomials
• On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids