By I. J. Schoenberg

As this monograph exhibits, the aim of cardinal spline interpolation is to bridge the space among the linear spline and the cardinal sequence. the writer explains cardinal spline features, the elemental houses of B-splines, together with B- splines with equidistant knots and cardinal splines represented by way of B-splines, and exponential Euler splines, resulting in crucial case and primary challenge of the booklet - cardinal spline interpolation, with major effects, proofs, and a few functions. different subject matters mentioned contain cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation difficulties, extremum and restrict houses, equidistant spline interpolation utilized to approximations of Fourier transforms, and the smoothing of histograms.

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