Cardinal Interpolation And Spline Functions
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| 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.
| Author | : Samuel Karlin |
| Publisher | : |
| Total Pages | : 520 |
| Release | : 1976 |
| Genre | : Mathematics |
| ISBN | : |
This volume reports a series of research investigations concerned with spline functions and approximation theory. The common thread of the studies derives from the facts that (1) the subject matter of the individual articles relate and significantly complement each other; 92) part of the genesis and certainly the main developments of these studies occurred at the Weizmann Institute of Science, Rehovot, Israel, commencing about September 1970 through June 1974. The contributions cover aspects of the theory of best approximation and quadratures, the solution of certain extremal problems embracing generalized Landau and Markov-type inequalities for derivative functionals, and a hierarchy of interpolation and convergence properties of classes of spline functions.
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 23 |
| Release | : 1971 |
| Genre | : Interpolation |
| ISBN | : |
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 71 |
| Release | : 1968 |
| Genre | : Interpolation |
| ISBN | : |
The purpose of the present paper is to show that the spline interpolation methods introduced by the author in Quarterly of Applied Math. 4 (1946), 45-99 and 112-141, easily furnish the results of Subbotin, Proc. Steklov Institute of Math., 78 (1965), 24-42, and go way beyond them. (Author).
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 38 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
The main purpose of the paper is to demonstrate the important role of some results of Euler in the theory and practice of cardinal spline interpolation. (Author).
| Author | : K. Böhmer |
| Publisher | : Springer |
| Total Pages | : 427 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540380736 |
| 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).
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 65 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
The paper is devoted to a study of the B-splines for the problem of cardinal Hermite interpolation by spline functions. (Author).
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 33 |
| Release | : 1971 |
| Genre | : Euler polynomials |
| ISBN | : |
| Author | : Peter R. Lipow |
| Publisher | : |
| Total Pages | : 45 |
| Release | : 1971 |
| Genre | : Interpolation |
| ISBN | : |
