Partial shape preserving approximation by bivariate Hermite-Fejér polynomials

DOI10.1016/S0898-1221(01)00130-4zbMath0982.41010OpenAlexW2083828065MaRDI QIDQ5948818

Sorin Gheorghe Gal, George A. Anastassiou

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00130-4

zbMATH Keywords

bivariate Hermite-Fejér interpolationJacobi nodesshape preserving approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation with constraints (41A29) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

General theory of global smoothness and approximation by smooth singular operators ⋮ A Voronovskaya type theorem for Poisson-Cauchy type singular operators ⋮ Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators ⋮ Special issue: Computational methods in analysis. Papers presented in or motivated from the session `Computational methods in analysis', Sectional American Mathematical Society Meeting \#982, Orlando, FL, USA, November 9-10, 2002. ⋮ Global smoothness and uniform convergence of smooth Poisson-Cauchy type singular operators ⋮ Global smoothness and uniform convergence of smooth Picard singular operators

Cites Work

• On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables
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