Effective results for restricted rational approximation to quadratic irrationals
Michael A. Bennett, Yann Bugeaud (2012)
Acta Arithmetica
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Michael A. Bennett, Yann Bugeaud (2012)
Acta Arithmetica
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J. Prasad (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Fernando Cobos (1988)
Colloquium Mathematicae
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R. Taberski (1977)
Annales Polonici Mathematici
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Jiři Močkoř (1975)
Colloquium Mathematicae
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Stéphane Lozier, Damien Roy (2012)
Acta Arithmetica
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E. Tarnawski (1956)
Fundamenta Mathematicae
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R. B. Saxena (1962)
Annales Polonici Mathematici
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Abedallah Rababah (2016)
Open Mathematics
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In this article, the issue of the best uniform approximation of circular arcs with parametrically defined polynomial curves is considered. The best uniform approximation of degree 2 to a circular arc is given in explicit form. The approximation is constructed so that the error function is the Chebyshev polynomial of degree 4; the error function equioscillates five times; the approximation order is four. For θ = π/4 arcs (quarter of a circle), the uniform error is 5.5 × 10−3. The numerical...
P. L. Papini (1987)
Matematički Vesnik
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