Mathematics of Approximation

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation,...

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Bibliographic Details
Main Author: De Villiers, Johan
Format: eBook
Language:English
Published: Paris Atlantis Press 2012, 2012
Edition:1st ed. 2012
Series:Mathematics Textbooks for Science and Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Polynomial Interpolation Formulas
  • Error Analysis For Polynomial Interpolation
  • Polynomial Uniform Convergence
  • Best Approximation
  • Approximation Operators
  • Best Uniform Polynomial Approximation
  • Orthogonality
  • Interpolatory Quadrature
  • Approximation of Periodic Functions
  • Spline Approximation