Geodesic
A property of logarithmically concave sequences
Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 467-472 
O. P. Vinogradov. A property of logarithmically concave sequences. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 467-472. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a15/
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     author = {O. P. Vinogradov},
     title = {A~property of logarithmically concave sequences},
     journal = {Matemati\v{c}eskie zametki},
     pages = {467--472},
     year = {1975},
     volume = {18},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a15/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the class of logarithmically concave sequences is closed relative to an operation which is a generalization of the convolution of two sequences. As a consequence, we give a new proof of the fact that in the discrete, as well as in the continuous case, the sum of independent random variables, having a growing distribution, also has a growing distribution.