Document Type

Presentation

Presentation Date

Summer 6-10-2015

Conference Name

International Conference on Applied Analysis and Mathematical Modeling 2015

Conference Location

Istanbul, Turkey

Peer Review

Contributed

Abstract

In this presentation we consider the best uniform approximation of the "checkmark function" |x-a| by polynomials on the interval [-1,1]. The dynamic behavior of the points of alternation in terms of the parameter a is investigated. For certain values of this parameter the approximation gives rise to the classical polynomials of Chebyshev and Zolotarev. We include numerical computations to illustrate the results.

Keywords

Polynomial approximation, Chebyshev polynomials, Zolotarev Polynomials

Disciplines

Analysis

Included in

Analysis Commons

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