Strong asymptotics for extremal polynomials off a complex curve.
Khaldi, Rabah (2004)
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Khaldi, Rabah (2004)
Journal of Applied Mathematics
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Stephan Ruscheweyh, Magdalena Wołoszkiewicz (2011)
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Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials. ...
Artur Korniłowicz (2017)
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In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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