Cardinal Spline Interpolation

Cardinal Spline Interpolation
Author: I. J. Schoenberg
Publisher: SIAM
Total Pages: 131
Release: 1973-01-01
Genre: Mathematics
ISBN: 9781611970555

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

Cardinal Spline Interpolation
Author: I. J. Schoenberg
Publisher: SIAM
Total Pages: 127
Release: 1973-01-01
Genre: Mathematics
ISBN: 089871009X

In this book the author explains cardinal spline functions, the basic properties of B-splines and exponential Euler splines.

I J Schoenberg

I J Schoenberg
Author: C. Deboor
Publisher:
Total Pages: 0
Release: 1988
Genre: Mathematics
ISBN: 9783764333782

(1988).

(1988).
Author: I. J. Schoenberg
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 1988-06
Genre: Mathematics
ISBN: 9780817634049

These seleeta contain 761 of the more than 2600 pages of 1. J. Schoenberg's published articles. The selection made and the grouping in which the papers are presented here reflect most strongly Schoenberg's wishes. The first volume of these seleeta is drawn from Schoenberg's remarkable work on Number Theory, Positive Definite Functions and Metric Geometry, Real and Complex Analysis, and on the Landau Problem. Schoenberg's fundamental papers on Total Pos itivity and Variation Diminution, on P6lya Frequency functions and sequences, and on Splines, especially Cardinal Splines, make up the second volume. In addition, various commentaries have been provided. Lettered references in these refer to items listed alphabetically at the end of each commentary. Numbered references refer to the list of Schoenberg's publications to be found in each volume. Those included in these seleeta are starred. It has been an honor to have been entrusted with the editorial work for these seleeta. I am grateful to the writers of the various commentaries for their illuminating contributions and to Richard Askey for solid advice.

Cardinal Interpolation and Spline Functions VIII

Cardinal Interpolation and Spline Functions VIII
Author: Carl De Boor
Publisher:
Total Pages: 82
Release: 1975
Genre: Interpolation
ISBN:

The Budan-Fourier theorem is shown to furnish the precise sign-structure of several functions appearing in cardinal spline interpolation and its applications. (Author).