A generalization of the variation diminishing property

DOI10.1007/BF02432004zbMath0837.15019OpenAlexW2086605233MaRDI QIDQ1899298

Juan Manuel Peña, J. M. Carnicer, Tim N. T. Goodman

Publication date: 14 November 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432004

zbMATH Keywords

variation diminishing propertytotally positive matrixtotally positive bases\(B\)-spline curves

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Spline approximation (41A15)

Related Items (2)

Convexity of rational curves and total positivity ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators

Cites Work

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• Piecewise polynomial spaces and geometric continuity of curves
• Shape preserving representations and optimality of the Bernstein basis
• Inflections on curves in two and three dimensions
• A Hurwitz Matrix is Totally Positive
• Totally positive matrices

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