Abstract
We obtain certain analogs of comparison theorems for σ-rearrangements of functions from nonsymmetric classes of functions, given with the help of a linear-differential operator, and also obtain inequalities for the best (α, β)-approximation of the class Wℬ Hω by another class of functions in the metric of L1.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1083–1088, August, 1990.
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Polyakov, O.V. Nonsymmetric approximations of a class by a class that is given with the help of a linear differential operator. Ukr Math J 42, 966–970 (1990). https://doi.org/10.1007/BF01099229
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DOI: https://doi.org/10.1007/BF01099229