Geodesic
A generalization of the Esseen inequality for the concentration function
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 55-58

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One proves an inquality for the concentration function of the random variable, representing a generalization of Esseen's inequality. 
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     author = {A. I. Daugavet and V. V. Petrov},
     title = {A generalization of the {Esseen} inequality for the concentration function},
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A. I. Daugavet; V. V. Petrov. A generalization of the Esseen inequality for the concentration function. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 55-58. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a4/