Mathematics of Approximation

ISBN-13: 9789462390461 / Angielski / Miękka / 2015 / 406 str.

Johan De De Villiers

Opis

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. best uniform polynomial approximation;

Recenzje

From the reviews:

"The current book presents a compilation of lecture notes delivered by Professor Johan de Villiers at Stellen Bosch University, South Africa. This hardbound treatise titled Mathematics of approximation is a reader-friendly volume spanning over 425 pages. ... The content is self-contained and can be used for both classroom teaching and self-study. ... The theory is illustrated by a number of solved examples. This is one of the many graces of the book." (Sarjoo Prasad Yadav, Mathematical Reviews, February, 2013)

Spis treści

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.