Approximation of the periodical functions of high smoothness by the rightangled Fourier sums
DOI:
https://doi.org/10.15330/cmp.5.1.102-109Keywords:
Kolmogorov-Hikol'skii problem, $(\psi, \beta)$-derivative, right-angled Fourier sumsAbstract
We obtain asymptotic equalities for upper bounds of the deviations of the right-angled Fourier sums taken over classes of periodical functions of two variables of high smoothness. These equalities in corresponding cases guarantee the solvability of the Kolmogorov–Nikol’skii problem for the right-angled Fourier sums on the specified classes of functions.
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Published
2013-06-20
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(1)
Novikov, O.; Rovenska, O. Approximation of the Periodical Functions of High Smoothness by the Rightangled Fourier Sums. Carpathian Math. Publ. 2013, 5, 102-109.
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Scientific articles