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| 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 | : 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 | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 60 |
| Release | : 1971 |
| Genre | : Hermite polynomials |
| ISBN | : |
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 60 |
| Release | : 1971 |
| Genre | : Hermite polynomials |
| ISBN | : |
| 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.
| Author | : Peter R. Lipow |
| Publisher | : |
| Total Pages | : 50 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
The results of MRC Technical Summary Report No. 1104 (AD-725 089) are extended to cover the case of Hermite interpolation at all integers by a cardinal spline function of odd degree. (Author).
| Author | : Gheorghe Micula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 622 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401153388 |
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
| Author | : Borislav D. Bojanov |
| Publisher | : Springer |
| Total Pages | : 292 |
| Release | : 1993-03-31 |
| Genre | : Computers |
| ISBN | : 9780792322290 |
This volume provides a comprehensive introduction to the theory of spline functions. Emphasis is given to new developments, such as the general Birkhoff-type interpolation, the extremal properties of splines, their prominent role in the optimal recovery of functions, and multivariate interpolation by polynomials and splines. The book has thirteen chapters dealing, respectively, with interpolation by algebraic polynomials, the space of splines, B-splines, interpolation by spline functions, natural spline functions, perfect splines, monosplines, periodic splines, multivariate B-splines and truncated powers, multivariate spline functions and divided differences, box splines, multivariate mean value interpolation, multivariate polynomial interpolations arising by hyperplanes, and multivariate pointwise interpolation. Some of the results described are presented as exercises and hints are given for their solution. For researchers and graduate students whose work involves approximation theory.
