Mathematics of Approximation

• Main Author: Villiers, Johan de (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2012.
• Series: Mathematics Textbooks for Science and Engineering ; 1
• Subjects: Mathematics.; Computer science > Mathematics.; Approximation theory.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Mathematics, general.; Computational Mathematics and Numerical Analysis.; Approximations and Expansions.; Mathematics of Computing.; Appl.Mathematics/Computational Methods of Engineering.

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,...

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.