Optimal interpolating spaces preserving shape

DOI10.1006/jath.1998.3307zbMath0952.41021OpenAlexW2068229513MaRDI QIDQ1293276

Bruce L. Chalmers, Dany Leviatan, Michael Prophet

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3307

zbMATH Keywords

\(n\)-dimensional Hahn-Banach extension theoremoptimal interpolating spacesshape-preserving projections

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by other special function classes (41A30)

Related Items

Simplicial cones and the existence of shape-preserving cyclic operators. ⋮ A note on the existence of shape-preserving projections ⋮ The existence of shape-preserving operators with a given action ⋮ Developments in bivarite spline interpolation

Cites Work

• The existence of shape-preserving operators with a given action
• The geometry of minimal shape-preserving projections onto \(\Pi_ n\)
• The Determination of Minimal Projections and Extensions in L 1
• Minimal shape-preserving projections onto Π_n
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