On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$
Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness of a function $f \in L_2(\mathbb{R})$, $\Psi$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2019-07-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/109 |