Geodesic
On the universal constant in the Katz-Petrov and Osipov inequalities
Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 29-39

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Upper estimates are presented for the universal constant in the Katz-Petrov and Osipov inequalities which do not exceed 3.1905.
Keywords: central limit theorem, convergence rate estimate, absolute constant, Katz-Petrov inequality, Osipov inequality 
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     title = {On the universal constant in the {Katz-Petrov} and {Osipov} inequalities},
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Korolev, Victor; Popov, Sergey. On the universal constant in the Katz-Petrov and Osipov inequalities. Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 29-39. http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a1/