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.
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@article{CRMATH_2018__356_3_272_0, author = {Kayumov, Ilgiz R. and Ponnusamy, Saminathan}, title = {Improved version of {Bohr's} inequality}, journal = {Comptes Rendus. Math\'ematique}, pages = {272--277}, publisher = {Elsevier}, volume = {356}, number = {3}, year = {2018}, doi = {10.1016/j.crma.2018.01.010}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.01.010/} }
TY - JOUR AU - Kayumov, Ilgiz R. AU - Ponnusamy, Saminathan TI - Improved version of Bohr's inequality JO - Comptes Rendus. Mathématique PY - 2018 SP - 272 EP - 277 VL - 356 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.01.010/ DO - 10.1016/j.crma.2018.01.010 LA - en ID - CRMATH_2018__356_3_272_0 ER -
%0 Journal Article %A Kayumov, Ilgiz R. %A Ponnusamy, Saminathan %T Improved version of Bohr's inequality %J Comptes Rendus. Mathématique %D 2018 %P 272-277 %V 356 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.01.010/ %R 10.1016/j.crma.2018.01.010 %G en %F CRMATH_2018__356_3_272_0
Kayumov, Ilgiz R.; Ponnusamy, Saminathan. Improved version of Bohr's inequality. Comptes Rendus. Mathématique, Tome 356 (2018) no. 3, pp. 272-277. doi : 10.1016/j.crma.2018.01.010. http://archive.numdam.org/articles/10.1016/j.crma.2018.01.010/
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