On the Lebesgue Inequality on Classes of $\bar{\psi}$ -Differentiable Functions
We consider the deviations of Fourier sums in the spaces ${C^{\bar{\psi}}}$. The estimates of these deviations are expressed via the best approximations of the $\bar{\psi}$ -derivatives of functions in the Stepanets sense. The sequences $\bar{\psi} = (ψ_1, ψ_2)$ are quasiconvex.
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| Date: | 2013 |
|---|---|
| Main Authors: | Zaderei, N. N., Zaderei, P. V., Задерей, Н. М., Задерей, П. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2013
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2469 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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