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Conference publicationsAbstractsXX conferenceApproximation of periodical functions of hight smoothness of raid-angled Fourier sumsDonbass state mashinebuilding academy, Ukraine, 84313, Kramatorsk, Shkadinova st., 72 1Donbass state pedagogical university, Ukraine, 84116, Slavyansk, G. Batyuka st., 19 We obtain asymptotic equalities for upper bounds of the deviations of the right-angled Fourier sums taken over classes of periodical functions of many variables of hight smoothness. These equalities guarantee the solvability of the Kolmogorov–Hikol’skii problem for the right-angled Fourier sums on the specified classes of functions.
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