Selected Topics in Interpolation and Approximation by Polynomials, Rational Functions, and Meromorphic Functions
Title | Selected Topics in Interpolation and Approximation by Polynomials, Rational Functions, and Meromorphic Functions PDF eBook |
Author | E. B. Saff |
Publisher | |
Pages | 218 |
Release | 1968 |
Genre | Approximation theory |
ISBN |
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 by Rational Functions in the Complex Domain
Title | Interpolation and Approximation by Rational Functions in the Complex Domain PDF eBook |
Author | J. L. Walsh |
Publisher | American Mathematical Soc. |
Pages | 418 |
Release | 1935-12-31 |
Genre | Mathematics |
ISBN | 0821810200 |
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
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.
An Introduction to the Approximation of Functions
Title | An Introduction to the Approximation of Functions PDF eBook |
Author | Theodore J. Rivlin |
Publisher | Courier Corporation |
Pages | 164 |
Release | 1981-01-01 |
Genre | Mathematics |
ISBN | 9780486640693 |
Mathematics of Computing -- Numerical Analysis.
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 374 |
Release | 1970 |
Genre | Aeronautics |
ISBN |
Rational Approximation and Interpolation
Title | Rational Approximation and Interpolation PDF eBook |
Author | P.R. Graves-Morris |
Publisher | Lecture Notes in Mathematics |
Pages | 548 |
Release | 1984-12 |
Genre | Mathematics |
ISBN |