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Popular Features. New Releases. Interpolation and Approximation. Description Interpolation and approximation offer important applications in computer science and elsewhere.
Interpolation and Approximation by Rational Functions in the Complex Domain
This intermediate-level survey by a noted authority abounds in useful examples of related subjects and has been praised for its level of clarity and reliance on well-presented and useful examples. A brief introductory chapter presents helpful definitions and theorems. Subsequent chapters explore interpolation, remainder theory, convergence theorems for interpolatory processes, and some problems of infinite interpolation. Additional topics include uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, the theory of closure and completeness, expansion theorems for orthogonal functions, degree of approximation, and approximation of linear functionals.
A familiarity with real and complex variable theory and linear algebra is assumed. Product details Format Paperback pages Dimensions x x Other books in this series. Introduction to Topology Bert Mendelson. Add to basket. One, Two, Three Infinity George Gamow.
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Concepts of Modern Mathematics Ian Stewart. 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. AMS Homepage. Join our email list.
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Author s Product display : J. Abstract: 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. Book Series Name: Colloquium Publications. Volume: Publication Month and Year: Copyright Year: The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Approximation vs. Interpolation Ask Question.
Asked 8 years, 4 months ago.
polynomials - Differences between interpolation and approximation - Mathematics Stack Exchange
Active 8 years, 4 months ago. Viewed 4k times. Thanks, Mike. Mainly it will depend on your data whether it seems to be easily approximated by a certain function. To follow up on Listing's comment, how do define "better"?
Would I try a few different interpolation or approximation techniques or functions and then calculate the residual error to figure out which was best? Dan Brumleve Dan Brumleve Sign up or log in Sign up using Google.