Best sextic approximation of circular arcs with thirteen equioscillations

다국어 초록 (Multilingual Abstract)

We approximate a circular arc using a polynomial curve of degree 6. The approximation has least deviation from the x-axis and the error function is of degree 12; the error function equioscillates 13 times rather than the classical 8 times equioscillations that are mathematically guaranteed by the Borel and Chebyshev theorems without a method to find their approximation.

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