Approximation with Hermite-Birkhoff Interpolatory Constraints and Related H-set Theory PDF Download

Author: Donald Marvin Platte
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 254

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Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 554

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Author: Ronald A. Devore
Publisher: Academic Press
ISBN: 1483265129
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Quantitative Approximation provides information pertinent to nonlinear approximation, including rational approximation and optimal knot spline approximation. This book discusses spline approximation with the most emphasis on multivariate and knot independent questions. Organized into 26 chapters, this book begins with an overview of the inequality for the sharp function in terms of the maximal rearrangement. This text then examines the best co-approximation in a Hilbert space wherein the existence ad uniqueness sets are the closed flats. Other chapters consider the inverse of the coefficient matrix for the system satisfied by the B-spline coefficients of the cubic spline interpolant at knots. This book discusses as well the relationship between the structural properties of a function and its degree of approximation by rational functions. The final chapter deals with the problem of existence of continuous selections for metric projections and provides a solution for this problem. This book is a valuable resource for mathematicians.

Author: London Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 844

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Author: Michael Golomb
Publisher:
ISBN:
Category : Approximate computation
Languages : en
Pages : 310

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Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 774

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Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 548

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Contains articles of significant interest to mathematicians, including reports on current mathematical research.

Author: Carl De Boor
Publisher: American Mathematical Soc.
ISBN: 9780821867433
Category : Mathematics
Languages : en
Pages : 152

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Book Description
The papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. Topics highlighted in the other lectures include the following: approximation in the complex domain, $N$-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics. The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.

Author: Zvi Ziegler
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

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Book Description
Construction of elements of the relative chebyshev center. The numerical claculation of spline approximations on a binfinite. Global analysis in nonlinear approximation and its application to exponential approximation. Global analysis in nonlinear approximation and its application to exponential approximation. Simultaneous approximation and restricted chebyshev centers in function spaces. Quelques proprietes D'Une family D'operateurs positfs sur des espaces de functions relles definies presque partout sur ... Bell-Shaped basis functions for surface fitting. The n-Widhts of sets of analytic functions. Admissibility of quadrature formulas with random nodes. Convergence for operators of hyperbolic type. Explicit ... - extensions of functions of two variebles in a strip between two curves, or in a corner in IR ... Taylor interpolation of order n at the vertices of a triangle. Applications for hermite interpolation and finite elements. Jacobi projections. Oscillating monosplines of least uniform norm. Some applications and drawbacks of padé approximants. From dirac distributions to multivariate representation formulas. A new iterative method for the solution of systems nonlinear equations. Polynomials and rational functions. Quadrature formulae based on shape preserving interpolation. Optimal recovery among the polynomials. On cardinal spline interpolants. Approximation by lacunary polynomials: A converse theorem. An interpolatory rational approximation. Design problems for optimal surface interpolation. Open problems.