Approximation of the periodical functions of high smoothness by the rightangled Fourier sums
Copyright policy )Approximation of the periodical functions of high smoothness by the rightangled Fourier sums
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.
- Pedagogical University Mozambique
eta)$-derivative, \beta)\)-derivative, $(psi, Trigonometric approximation, Задача Колмогорова-Нікольського, $(\psi,\beta)$-похідна, прямокутні суми Фур'є, Kolmogorov-Hikol'skii problem, $(\psi,\beta)$-derivative, right-angled Fourier sums, kolmogorov-hikol'skii problem, \((\psi, right-angled Fourier sums, Задача Колмогорова-Никольского, $(\psi,\beta)$-производная, прямоугольные суммы Фурье, Kolmogorov-Hikol'skii problem, $(\psi, QA1-939, right-angled fourier sums, Kolmogorov--Hikol'skii problem, Mathematics, \beta)$-derivative
eta)$-derivative, \beta)\)-derivative, $(psi, Trigonometric approximation, Задача Колмогорова-Нікольського, $(\psi,\beta)$-похідна, прямокутні суми Фур'є, Kolmogorov-Hikol'skii problem, $(\psi,\beta)$-derivative, right-angled Fourier sums, kolmogorov-hikol'skii problem, \((\psi, right-angled Fourier sums, Задача Колмогорова-Никольского, $(\psi,\beta)$-производная, прямоугольные суммы Фурье, Kolmogorov-Hikol'skii problem, $(\psi, QA1-939, right-angled fourier sums, Kolmogorov--Hikol'skii problem, Mathematics, \beta)$-derivative
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