Comptes Rendus
no. 3
Mathematical analysis/Complex analysis
Improved version of Bohr's inequality
[Version améliorée de l'inégalité de Bohr]

Présenté par : the Editorial Board

Ilgiz R. Kayumov1 ; Saminathan Ponnusamy2
1 Kazan Federal University, Kremlevskaya 18, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 272-277.

Nous montrons ici plusieurs améliorations de l'inégalité de Bohr classique. Nous montrons également que les constantes numériques dans nos résultats sont optimales.

In this article, we prove several different improved versions of the classical Bohr's inequality. All the results are proved to be sharp.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.01.010
Ilgiz R. Kayumov 1 ; Saminathan Ponnusamy 2

1 Kazan Federal University, Kremlevskaya 18, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India 
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Ilgiz R. Kayumov; Saminathan Ponnusamy. Improved version of Bohr's inequality. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 272-277. doi : 10.1016/j.crma.2018.01.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.01.010/

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