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Cardinal spline interpolation : "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." / I.J. Schoenberg

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Regional conference series in applied mathematics ; 12Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, [c1973]Description: Online-Ressource (1 electronic text vi, 119 p.)ISBN:
  • 089871009X
  • 9780898710090
  • 9781611970555
Subject(s): Additional physical formats: 089871009X | Erscheint auch als Druck-AusgabeDDC classification:
  • 511/.42 19
DOI: DOI: 10.1137/1.9781611970555Online resources:
Contents:
Includes bibliographical references (p. 121-125)
Summary: As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histogramsPPN: PPN: 1651240310Package identifier: Produktsigel: ZDB-72-SIA
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