Lecture Notes in Numerical Analysis with Mathematica

Lecture Notes in Numerical Analysis with Mathematica

Indexed in: EBSCO.

“ Lecture Notes in Numerical Analysis with Mathematica” highlights most of the important algorithms and their solved examples by Mathematica. The contents of this book include chapters on ...
[view complete introduction]

US $
15

*(Excluding Mailing and Handling)



Uniform Approximation

Pp. 103-132 (30)

Krystyna STYš and Tadeusz STYš

Abstract

In the subject of uniform approximations the fundamental theorems with their proofs are presented. Like Taylor and Weierstrass Theorems, Bernstein's and Chebyshev's polynomials, Chebyshev's series and the best uniform approximation of a function are considered . The theorems are clarified by examples. The Mathematica modules are designed for uniform approximation of one variable functions. The chapter ends with a set of questions.

Keywords:

Uniform approximation, Bernstein’s polynomials, Chebyshe's polynomials.

Affiliation:

University of Warsaw, Poland.