Analogues of the Kesten inequality for concentration functions and their improvments
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 15-21

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Concentration functions of Kawata and Kunisawa are considered. Analogues of the Kesten inequality are proved for this concentration functions.
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     author = {S. M. Anan'evskij},
     title = {Analogues of the {Kesten} inequality for concentration functions and their improvments},
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S. M. Anan'evskij. Analogues of the Kesten inequality for concentration functions and their improvments. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VI, Tome 97 (1980), pp. 15-21. http://geodesic.mathdoc.fr/item/ZNSL_1980_97_a2/