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Author : William A. Light,Elliot W. Cheney
Publisher : Springer
Page : 164 pages
File Size : 53,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540397410
Author : Brian S. Thomson,S. S. Agaian,William Allan Light
Publisher : Unknown
Page : 227 pages
File Size : 51,5 Mb
Release : 1985
Category : Approximation theory
ISBN : 0387160574
Author : William A. Light,Elliot W. Cheney
Publisher : Unknown
Page : 168 pages
File Size : 49,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662165406
Author : Raymond A. Ryan
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 50,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781447139034
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Author : E. W. Cheney
Publisher : SIAM
Page : 74 pages
File Size : 51,5 Mb
Release : 1986-10-01
Category : Mathematics
ISBN : 9780898712070
This monograph deals with the development of algorithms or the derivation of approximations from linear projections.
Author : Andrea Rott
Publisher : Herbert Utz Verlag
Page : 122 pages
File Size : 43,6 Mb
Release : 1999
Category : Electronic
ISBN : 3896755161
Author : Jörg Blatter
Publisher : American Mathematical Soc.
Page : 121 pages
File Size : 49,8 Mb
Release : 1972
Category : Mathematics
ISBN : 9780821818206
The purpose of this work is to study systematically a set of closed vector subspaces - Grothendieck subspaces - of (C sub zero) (T, X), T a locally compact Hausdorff topological space and X a real Banach space, analogous to Grothendieck's set of closed vector subspaces of (C sub zero) (T, R) along with two subsets - Kakutani-Stone and Weierstrass-Stone subspaces - analogous to the sets of closed vector sublattices and closed subalgebras of (C sub zero) (T, R), and to develop, subsequently, a theory of best approximation in (C sub zero) (T, X) by closed vector subspaces in these sets. (Author).
Author : Carl De Boor
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 46,7 Mb
Release : 1986
Category : Mathematics
ISBN : 9780821800980
Presented at a 1986 AMS Short Course, this title contains papers that give a brief introduction to approximation theory and some of its areas of active research, both theoretical and applied. It is best understood by those with a standard first graduate course in real and complex analysis.
Author : Frank R. Deutsch
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468492989
This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.
Author : Charles K. Chui
Publisher : World Scientific
Page : 606 pages
File Size : 54,6 Mb
Release : 1995
Category : Mathematics
ISBN : 9789814532594
This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.
Author : Charles K Chui,Larry L Schumaker
Publisher : World Scientific
Page : 606 pages
File Size : 50,8 Mb
Release : 1995-11-07
Category : Mathematics
ISBN : 9789814549066
This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.
Author : Elliott Ward Cheney,William Allan Light
Publisher : Thomson Brooks/Cole
Page : 396 pages
File Size : 52,7 Mb
Release : 2000
Category : Approximation theory
ISBN : UOM:39076002389828
1. Introductory Discussion of Interpolation 2. Linear Interpolation Operators 3. Optimization of the Lagrange Operator 4. Multivariate Polynomials 5. Moving the Nodes 6. Projections 7. Tensor Product Interpolation 8. The Boolean Algebra of Projections 9. The Newton Paradigm for Interpolation 10. The Lagrange Paradigm for Interpolation 11. Interpolation by Translates of a Single Function 12. Positive Definite Functions 13. Strictly Positive Definite Functions 14. Completely Monotone Functions 15. The Schoenberg Interpolation Theorem 16. The Micchelli Interpolation Theorem 17. Positive Definite Functions of Spheres 18. Approximation by Positive Definite Functions 19. Approximate Reconstruction of Functions and Tomography 20. Approximation by Convolution 21. The Good Kernels 22. Ridge Functions 23. Ridge Function Approximation via Convolutions 24. Density of Ridge Functions 25. Artificial Neural Networks 26. Chebyshev Centers 27. Optimal Reconstruction of Functions 28. Algorithmic Orthogonal Projections 29. Cardinal B-Splines and the Sinc Function 30. The Golomb-Weinberger Theory 31. Hilbert Function Spaces, Reproducing Kernels 32. Spherical Splines 33. Box Splines 34. Wavelets, Part I 35. Wavelets, Part II 36. Quasi-Interpolation Bibliography / Index
Author : S.P. Singh,J.H.W. Burry,B. Watson
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400964662
A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including ~1ultivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at MeMorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings.
Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
Page : 525 pages
File Size : 47,5 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9783642280276
Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc.
Author : Gregory E. Fasshauer,Larry L. Schumaker
Publisher : Springer
Page : 398 pages
File Size : 43,9 Mb
Release : 2017-07-19
Category : Mathematics
ISBN : 9783319599120
These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22–25, 2016 in San Antonio, Texas. The conference was the fifteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 146 participants. The book contains longer survey papers by some of the invited speakers covering topics such as compressive sensing, isogeometric analysis, and scaling limits of polynomials and entire functions of exponential type. The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation.