A note on the existence of shape-preserving projections

DOI10.1216/RMJM/1181068767zbMath1142.47024OpenAlexW2090692859MaRDI QIDQ2477981

Michael Prophet, Douglas Mupasiri

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181068767

zbMATH Keywords

simplicial coneinvariant coneshape-preserving projection

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Approximation by polynomials (41A10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

A characterization and equations for minimal shape-preserving projections ⋮ Shape-preserving projections in low-dimensional settings and the \(q\)-monotone case ⋮ A moment problem for discrete nonpositive measures on a finite interval ⋮ Minimal shape-preserving projections in tensor product spaces

Cites Work

• Optimal interpolating spaces preserving shape
• The existence of shape-preserving operators with a given action
• On \(j\)-convex preserving interpolation operators
• Minimal shape-preserving projections onto Π_n
• Lectures on Choquet's theorem

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