Interpolation and Approximation by Polynomials
Title | Interpolation and Approximation by Polynomials PDF eBook |
Author | George M. Phillips |
Publisher | Springer Science & Business Media |
Pages | 325 |
Release | 2006-04-06 |
Genre | Mathematics |
ISBN | 0387216820 |
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
Title | Topics in Polynomial and Rational Interpolation and Approximation PDF eBook |
Author | Richard S. Varga |
Publisher | |
Pages | 148 |
Release | 1982 |
Genre | Approximation theory |
ISBN |
Interpolation and Approximation
Title | Interpolation and Approximation PDF eBook |
Author | Philip J. Davis |
Publisher | Courier Corporation |
Pages | 418 |
Release | 1975-01-01 |
Genre | Mathematics |
ISBN | 0486624951 |
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.
Frontiers in Interpolation and Approximation
Title | Frontiers in Interpolation and Approximation PDF eBook |
Author | N. K. Govil |
Publisher | CRC Press |
Pages | 476 |
Release | 2006-07-20 |
Genre | Mathematics |
ISBN | 1420011383 |
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.
Approximation Theory and Methods
Title | Approximation Theory and Methods PDF eBook |
Author | M. J. D. Powell |
Publisher | Cambridge University Press |
Pages | 356 |
Release | 1981-03-31 |
Genre | Mathematics |
ISBN | 9780521295147 |
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.
Rational Approximation and Interpolation
Title | Rational Approximation and Interpolation PDF eBook |
Author | P.R. Graves-Morris |
Publisher | Springer |
Pages | 541 |
Release | 2006-11-14 |
Genre | Mathematics |
ISBN | 3540391134 |
Interpolation and Extrapolation Optimal Designs V1
Title | Interpolation and Extrapolation Optimal Designs V1 PDF eBook |
Author | Giorgio Celant |
Publisher | John Wiley & Sons |
Pages | 254 |
Release | 2016-03-31 |
Genre | Mathematics |
ISBN | 111929228X |
This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.