On the construction and convergence of multivariate interpolation operators

DOI10.1016/0021-9045(77)90052-1zbMath0344.41001OpenAlexW2037753417MaRDI QIDQ1232765

Peter Pottinger, Werner Haussmann

Publication date: 1977

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90052-1

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Tensor products in functional analysis (46M05)

Related Items (4)

Global smoothness preservation by bivariate interpolation operators ⋮ On the approximation by Stancu-type bivariate Jakimovski-Leviatan-Durrmeyer operators ⋮ Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ A local multivariate Lagrange interpolation method for constructing shape functions

Cites Work

• Tensorprodukte und mehrdimensionale Interpolation
• Konvergenz mehrdimensionaler Interpolation
• Approximation by interpolation of certain real compact analytic surfaces
• Letter to the editor: Convergence of cubic spline interpolants
• Tensorproduktmetoden bei mehrdimensionaler Interpolation. (Tensor product methods under multidimensional interpolation.)
• Interpolation in Several Variables
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables
• DERIVATION OF INTERPOLATION FORMULAS IN SEVERAL INDEPENDENT VARIABLES*
• A Theory of Cross-Spaces. (AM-26)
• On Two-Dimensional Bernstein Polynomials
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