Rababah, Abedallah Best sextic approximation of circular arcs with thirteen equioscillations. (English) Zbl 1403.41009 Proc. Jangjeon Math. Soc. 21, No. 1, 111-123 (2018). Summary: 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. MSC: 41A50 Best approximation, Chebyshev systems 41A10 Approximation by polynomials 41A25 Rate of convergence, degree of approximation 65D17 Computer-aided design (modeling of curves and surfaces) Keywords:BĂ©zier curves; sextic approximation; circular arc; equioscillation; CAD PDFBibTeX XMLCite \textit{A. Rababah}, Proc. Jangjeon Math. Soc. 21, No. 1, 111--123 (2018; Zbl 1403.41009)