Spaces with Almost Strictly Totally Positive Bases

DOI10.1002/mana.19941690106zbMath0821.41023OpenAlexW1986579119MaRDI QIDQ4321082

J. M. Carnicer, Juan Manuel Peña

Publication date: 19 January 1995

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941690106

zbMATH Keywords

totally positive baseslocally linearly independent basesSchoenberg- Whitney theorem

Mathematics Subject Classification ID

Spline approximation (41A15) Approximation by positive operators (41A36)

Related Items (8)

On the characterization of almost strictly totally positive matrices ⋮ An optimal test for almost strict total positivity ⋮ Interpolation by weak Chebyshev spaces ⋮ Backward error analysis of Neville elimination ⋮ Zak transforms and Gabor frames of totally positive functions and exponential B-splines ⋮ Optimal bases for a class of mixed spaces and their associated spline spaces ⋮ Almost strict total positivity and a class of Hurwitz polynomials ⋮ A general class of Bernstein-like bases

Cites Work

• Piecewise polynomial spaces and geometric continuity of curves
• Almost strictly totally positive matrices
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• Shape preserving representations and optimality of the Bernstein basis
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves
• Totally positive matrices

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