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Interpolation and Approximation by Polynomials

2006-04-06 Mathematics
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Release : 2006-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 820/5 ( reviews)

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Book Synopsis Interpolation and Approximation by Polynomials by : George M. Phillips

Download or read book Interpolation and Approximation by Polynomials written by George M. Phillips. This book was released on 2006-04-06. Available in PDF, EPUB and Kindle. Book excerpt: In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.

Topics in Polynomial and Rational Interpolation and Approximation

1982 Approximation theory
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Release : 1982
Genre : Approximation theory
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Topics in Polynomial and Rational Interpolation and Approximation by : Richard S. Varga

Download or read book Topics in Polynomial and Rational Interpolation and Approximation written by Richard S. Varga. This book was released on 1982. Available in PDF, EPUB and Kindle. Book excerpt:

Frontiers in Interpolation and Approximation

2006-07-20 Mathematics
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Release : 2006-07-20
Genre : Mathematics
Kind : eBook
Book Rating : 383/5 ( reviews)

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Book Synopsis Frontiers in Interpolation and Approximation by : N. K. Govil

Download or read book Frontiers in Interpolation and Approximation written by N. K. Govil. This book was released on 2006-07-20. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Interpolation and Approximation

1975-01-01 Mathematics
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Release : 1975-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis Interpolation and Approximation by : Philip J. Davis

Download or read book Interpolation and Approximation written by Philip J. Davis. This book was released on 1975-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.

Approximation Theory and Methods

1981-03-31 Mathematics
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Release : 1981-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 147/5 ( reviews)

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Book Synopsis Approximation Theory and Methods by : M. J. D. Powell

Download or read book Approximation Theory and Methods written by M. J. D. Powell. This book was released on 1981-03-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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