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Approximation of circular arcs by cubic polynomials. (English) Zbl 0756.41009

An attempt is made to present a systematic approach in the approximation of circular arcs by means of degree 3 polynomials. Bernstein-Bezier representation of cubic polynomials is used. A Hermite-type approximation is considered. Also the paper deals both with curves that are \(C^ 0\)- continuous to a given arc and non \(C^ 0\)-approximation. The famous Chebychev polynomials are applied, which allow the minimal deviation from zero on the segment. Examples are supplied.

MSC:

41A10 Approximation by polynomials
41A30 Approximation by other special function classes
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References:

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