Interpolation and approximation from convex sets. II: Infinite-dimensional interpolation

DOI10.1016/S0377-0427(00)00386-1zbMath0980.41004OpenAlexW1976511271MaRDI QIDQ1576465

Marian Neamtu, Bernd Mulansky

Publication date: 25 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00386-1

zbMATH Keywords

topological vector spaceopen mapmonotone extensionconstrained interpolation and approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (2)

Powell-Sabin splines in range restricted interpolation of scattered data ⋮ Interpolation and approximation from convex sets

Cites Work

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• On monotone extensions of boundary data
• Constrained best approximation in Hilbert space. II
• Interpolation and approximation from convex sets
• Constrained best approximation in Hilbert space
• Piecewise Monotone Interpolation in Polynomial Time
• The Degree of Piecewise Monotone Interpolation
• Piecewise Monotone Interpolation and Approximation with Muntz Polynomials
• Analytic monotone extension in two and three dimensions
• Simultaneous Interpolation and Approximation in Topological Linear Spaces

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