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You searched IISERK - Subject: Analog electronic systems.
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Call Number
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511/.42
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Author
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Schoenberg, I. J.
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Title
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Cardinal spline interpolation [electronic resource] / I.J. Schoenberg.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [c1973]
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Material Info.
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1 electronic text (vi, 119 p.) : ill., digital file.
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Series
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Regional conference series in applied mathematics ; 12
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Series
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CBMS-NSF regional conference series in applied mathematics ; 12.
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Summary Note
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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.
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Notes
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"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'."
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Notes
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Includes bibliographical references (p. 121-125).
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Notes
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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.
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ISBN
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9781611970555 (electronic bk.)
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Subject
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Spline theory.
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Subject
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Interpolation.
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Subject
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Cardinal spline interpolation
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Subject
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Spline functions
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Subject
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B-splines
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Subject
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Exponential Euler splines
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Subject
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Extremum and limit properties
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Subject
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Fourier transforms
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Subject
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Histograms
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Added Entry
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Conference Board of the Mathematical Sciences.
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM:
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