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Conference publications

Abstracts

XX conference

Approximation of periodical functions of hight smoothness of raid-angled Fourier sums

Rovenska O., Novikov O.1

Donbass state mashinebuilding academy, Ukraine, 84313, Kramatorsk, Shkadinova st., 72

1Donbass state pedagogical university, Ukraine, 84116, Slavyansk, G. Batyuka st., 19

1 pp. (accepted)

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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