Geodesic
Inequalities for algebraic polynomials on an ellipse
Ural mathematical journal, Tome 6 (2020) no. 2, pp. 87-94

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper presents new solutions to two classical problems of approximation theory. The first problem is to find the polynomial that deviates least from zero on an ellipse. The second one is to find the exact upper bound of the uniform norm on an ellipse with foci $\pm 1$ of the derivative of an algebraic polynomial with real coefficients normalized on the segment $[- 1,1]$.
Keywords: Chebyshev polynomials, ellipse, derivative of a polynomial, uniform norm.
Mots-clés : polynomial, segment 
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     author = {Tatiana M. Nikiforova},
     title = {Inequalities for algebraic polynomials on an ellipse},
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     url = {http://geodesic.mathdoc.fr/item/UMJ_2020_6_2_a8/}
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Tatiana M. Nikiforova. Inequalities for algebraic polynomials on an ellipse. Ural mathematical journal, Tome 6 (2020) no. 2, pp. 87-94. http://geodesic.mathdoc.fr/item/UMJ_2020_6_2_a8/