Lecture Notes in Numerical Analysis with Mathematica

Uniform Approximation

Author(s): Krystyna STYš and Tadeusz STYš

Pp: 103-132 (30)

Doi: 10.2174/9781608059423114010007

* (Excluding Mailing and Handling)

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.

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