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Cardinal Spline Interpolation

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Cardinal Spline Interpolation

Cardinal Spline Interpolation

I. J. Schoenberg
February 1987
This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Paperback
9780898710090
£26.99
GBP
Paperback
    Description

    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.

    Product details

    February 1987
    Paperback
    9780898710090
    131 pages
    255 × 178 × 100 mm
    0.3kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • 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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    About the authors
      Author
    • I. J. Schoenberg

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