Theory and applications of spline functions, ed by T.N.E.Greville

Theory and applications of spline functions, ed by T.N.E.Greville PDF Author:
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages :

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Theory and applications of spline functions, ed by T.N.E.Greville

Theory and applications of spline functions, ed by T.N.E.Greville PDF Author:
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages :

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Spline Functions and the Theory of Wavelets

Spline Functions and the Theory of Wavelets PDF Author: Serge Dubuc
Publisher: American Mathematical Soc.
ISBN: 9780821870181
Category : Mathematics
Languages : en
Pages : 412

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Book Description
This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.

(1988).

(1988). PDF Author: I. J. Schoenberg
Publisher: Springer Science & Business Media
ISBN: 9780817634049
Category : Mathematics
Languages : en
Pages : 432

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Book Description
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.

Spline Functions

Spline Functions PDF Author: K. Böhmer
Publisher: Springer
ISBN: 3540380736
Category : Mathematics
Languages : en
Pages : 427

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Theory and Applications of Spline Functions

Theory and Applications of Spline Functions PDF Author: Thomas Nall Eden Greville
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 232

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Cardinal Spline Interpolation

Cardinal Spline Interpolation PDF Author: I. J. Schoenberg
Publisher: SIAM
ISBN: 089871009X
Category : Mathematics
Languages : en
Pages : 127

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

Applications of Spline Functions in Economics

Applications of Spline Functions in Economics PDF Author: Dale J. Poirier
Publisher:
ISBN:
Category : Econometrics
Languages : en
Pages : 454

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Approximation Theory and Methods

Approximation Theory and Methods PDF Author: M. J. D. Powell
Publisher: Cambridge University Press
ISBN: 9780521295147
Category : Mathematics
Languages : en
Pages : 356

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Book Description
Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Selected Topics in Approximation and Computation

Selected Topics in Approximation and Computation PDF Author: Marek Kowalski
Publisher: Oxford University Press
ISBN: 0195359771
Category : Mathematics
Languages : en
Pages : 366

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Book Description
Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.

Signal Processing Techniques Based on Spline Functions

Signal Processing Techniques Based on Spline Functions PDF Author: Arun N. Netravali
Publisher:
ISBN:
Category : Signal processing
Languages : en
Pages : 238

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Book Description