New Perspectives on Approximation and Sampling Theory, Ahmed I. Zayed; Gerhard Schmeisser

Автор: Ahmed I. Zayed; Gerhard Schmeisser
Название: New Perspectives on Approximation and Sampling Theory
ISBN: 3319088009 ISBN-13(EAN): 9783319088006
Издательство: Springer
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Цена: 88500.00 T
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Автор: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
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Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable Matlab M-file, available online.In addition, the book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Название: Progress in approximation theory and applicable complex analysis
ISBN: 3319492403 ISBN-13(EAN): 9783319492407
Издательство: Springer
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Цена: 111790.00 T
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Описание: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

Автор: A. Pinkus
Название: n-Widths in Approximation Theory
ISBN: 3642698964 ISBN-13(EAN): 9783642698965
Издательство: Springer
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Цена: 83850.00 T
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Описание: Introduction . . . . . . . . Basic Properties of n-Widths . Properties of d * * * * * * * * * * 9 n 15 2. Existence of Optimal Subspaces for d * n n 17 3. Properties of d * * * * * * 20 4. Properties of b * * * * * * n 5. Duality Between d and d * * 27 n 7. Some Relationships Between dn(T), dn(T) and bn(T) . 32 37 Notes and References . . . . .

Автор: V. Paulauskas; A. Rackauskas
Название: Approximation Theory in the Central Limit Theorem
ISBN: 9401178003 ISBN-13(EAN): 9789401178006
Издательство: Springer
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Цена: 46570.00 T
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Автор: Dietrich Braess
Название: Nonlinear Approximation Theory
ISBN: 3642648835 ISBN-13(EAN): 9783642648830
Издательство: Springer
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Цена: 121110.00 T
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Описание: The first investigations of nonlinear approximation problems were made by P.L. On the other hand, methods developed for nonlinear approximation prob- lems can often be successfully applied to problems which belong to or arise from linear approximation.

Автор: Manfred W. M?ller; Martin D. Buhmann; Detlef Mache
Название: New Developments in Approximation Theory
ISBN: 3034897332 ISBN-13(EAN): 9783034897334
Издательство: Springer
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Цена: 46570.00 T
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Описание: A collection of papers by international contributors describing new developments in the fields of univariate and multivariate approximation theory. This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography).

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431545700 ISBN-13(EAN): 9784431545705
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Автор: SCHEMPP; ZELLER
Название: Multivariate Approximation Theory III
ISBN: 3034899955 ISBN-13(EAN): 9783034899956
Издательство: Springer
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Цена: 74490.00 T
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Описание: The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods.

Автор: Roland Hagen; Steffen Roch; Bernd Silbermann
Название: Spectral Theory of Approximation Methods for Convolution Equations
ISBN: 3034898916 ISBN-13(EAN): 9783034898911
Издательство: Springer
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Цена: 97820.00 T
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Описание: The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves.

Название: Methods of fourier analysis and approximation theory
ISBN: 3319274651 ISBN-13(EAN): 9783319274652
Издательство: Springer
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Цена: 79190.00 T
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Описание: Different facets of interplay between harmonic analysis andapproximation theory are covered in this volume. The topics included areFourier analysis, function spaces, optimization theory, partial differentialequations, and their links to modern developments in the approximation theory.

Автор: George A. Anastassiou; Sorin G. Gal
Название: Approximation Theory
ISBN: 1461271126 ISBN-13(EAN): 9781461271123
Издательство: Springer
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Цена: 93160.00 T
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Описание: We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val- ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop- erty (GSPP) for almost all known linear approximation operators of ap- proximation theory including: trigonometric operators and algebraic in- terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera- tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat- ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth- ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP.