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A criterion for the positivity of rational cubic \(C^ 2\)-spline interpolants

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Publication:753379
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DOI10.1007/BF02241274zbMath0716.65003OpenAlexW97087853MaRDI QIDQ753379

D. Kharzeev

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02241274


zbMATH Keywords

existence conditionpositive spline interpolationrational cubic splines


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)




Cites Work

  • Unnamed Item
  • A local algorithm for constructing non-negative cubic splines
  • The derivation of cubic splines with obstacles by methods of optimization and optimal control
  • Positivity of cubic polynomials on intervals and positive spline interpolation
  • Non-negative exponential splines
  • Positive interpolation with rational quadratic splines
  • Positive interpolation with rational splines
  • An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation
  • Splines with Nonnegative B-Spline Coefficients


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