Geodesic
Sharp Inequalities for Rational Functions on a Circle
Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 29-36

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

For rational functions with prescribed poles lying outside the unit circle $|z|=1$, sharp inequalities are established at points $z$, $|z|=1$. In contrast to the known results, the location of the specified poles on either side of the circle $|z|=1$ is allowed.
Keywords: polynomials, rational functions, Bernstein inequalities, rotation theorems. 
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     author = {V. N. Dubinin},
     title = {Sharp {Inequalities} for {Rational} {Functions} on a {Circle}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a2/}
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V. N. Dubinin. Sharp Inequalities for Rational Functions on a Circle. Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 29-36. http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a2/