Sharp Kolmogorov–Remez type inequalities for periodic funtions of a small smoothness
UDC 517.5 In the case of either $r = 2, k = 1$ or $r = 3, k = 1, 2,$ for any $q, p \geq 1,$ $\beta \in [0, 2\pi),$ and arbitrary measurable set $B \subset I_{2\pi} := [-\pi/2, 3\pi/2],$ $\mu B \le \beta,$ we prove the sharp Kolmogorov–Remez type inequality$$\|f^{(k)}\|_{q}\leq\frac{\|\varphi_{r-k}\|...
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| Date: | 2020 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/963 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |