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Book Synopsis
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.

Cardinal Spline Interpolation CBMSNSF Regional Conference Series in Applied Mathematics Series Number 12

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    A Paperback by I. J. Schoenberg

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      View other formats and editions of Cardinal Spline Interpolation CBMSNSF Regional Conference Series in Applied Mathematics Series Number 12 by I. J. Schoenberg

      Publisher: Society for Industrial and Applied Mathematics
      Publication Date: Publication Date: 1/1/1987
      ISBN13: 9780898710090, 978-0898710090
      ISBN10: 089871009X

      Description

      Book Synopsis
      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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