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Limits of weighted splines based on piecewise constant weight functions

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Publication:1316344
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DOI10.1216/rmjm/1181072572zbMath0796.41010OpenAlexW2049021870MaRDI QIDQ1316344

Kȩstutis Šalkauskas, L. P. Bos

Publication date: 14 March 1994

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072572


zbMATH Keywords

weight functionsweighted splines\(C^ 1\) piecewise cubics


Mathematics Subject Classification ID

Spline approximation (41A15)


Related Items (5)

CALCULATION OF THE SMOOTHING SPLINE WITH WEIGHTED ROUGHNESS MEASURE ⋮ Pseudo-tensor product interpolation and blending with families of univariate schemes ⋮ A shape-preserving approximation by weighted cubic splines ⋮ Discrete weighted cubic splines ⋮ Monotone and convex interpolation by weighted cubic splines



Cites Work

  • Unnamed Item
  • \(C^ 1\) splines for interpolation of rapidly varying data
  • Local control of interval tension using weighted splines
  • Weighted splines as optimal interpolants
  • Interpolation with interval and point tension controls using cubic weighted v -splines
  • Weighted bicubic spline interpolation to rapidly varying data


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