Minimal shape-preserving projections onto Πn

DOI10.1080/01630569708816775zbMath0917.46008OpenAlexW2136816887WikidataQ126242947 ScholiaQ126242947MaRDI QIDQ4385291

Michael Prophet, Bruce L. Chalmers

Publication date: 19 July 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816775

zbMATH Keywords

convex functionminimal projectionminimal shape-preserving projections

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Approximation by polynomials (41A10) Applications of operator theory in numerical analysis (47N40)

Related Items

A characterization and equations for minimal shape-preserving projections ⋮ Determining projection constants of univariate polynomial spaces ⋮ Codimension-one minimal projections onto Haar subspaces ⋮ Simplicial cones and the existence of shape-preserving cyclic operators. ⋮ A note on the existence of shape-preserving projections ⋮ Minimal Multi-Convex Projections Onto Subspaces of Incomplete Algebraic Polynomials ⋮ On \(j\)-convex preserving interpolation operators ⋮ Optimal interpolating spaces preserving shape ⋮ The existence of shape-preserving operators with a given action ⋮ Minimal Shape-Preserving Projections Onto Π _n : Generalizations and Extensions

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