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'."
Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Schoenberg, I. J. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) [c1973]
Schriftenreihe:CBMS-NSF regional conference series in applied mathematics 12
Schlagworte:
Online-Zugang:TUM01
UBW01
UBY01
UER01
Volltext
Beschreibung:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (s. 121-125)
The basis property of B-splines -- The exponential Euler splines -- Cardinal spline interpolation -- Cardinal hermite interpolation -- Other spaces and semi-cardinal interpolation -- Finite spline interpolation problems -- Semi-cardinal interpolation and quadratures with general boundary conditions -- extremum and limit properties -- Applications: approximations of Fourier transforms and the smoothing of histograms
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 histograms
Beschreibung:1 Online-Ressource (vi, 119 Seiten)
ISBN:089871009X
9780898710090
DOI:10.1137/1.9781611970555

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Volltext öffnen