Geodesic
Nonclassical estimates of the error of approximation in the central limit theorem
Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 143-154

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A series of new estimates for the speed of convergence in the central limit theorem is obtained. All the estimates are nonclassical in the sense that their right-hand sides take into account the possible nearness of the distributions of the summands to the normal distribution. 
@article{MZM_1978_23_1_a15,
     author = {V. I. Rotar'},
     title = {Nonclassical estimates of the error of approximation in the central limit theorem},
     journal = {Matemati\v{c}eskie zametki},
     pages = {143--154},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a15/}
}
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V. I. Rotar'. Nonclassical estimates of the error of approximation in the central limit theorem. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 143-154. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a15/