On one property of the modulus of continuity for periodic functions of higher orders
UDC 517.5 For the moduli of continuity of $2\pi$-periodic functions $\omega_k(f,h)$ of order $k = 1,2,\ldots, $ we prove the inequalities$$\omega_k(f,\pi)\leq\frac{2^k}{C_k^{[\frac{k}{2}]}}\frac{1}{\pi}\int\limits_0^{\pi}\omega_k(f,h)dh,$$for even $k.$ The inequalities are exact in the spaces $C_{2\...
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| Date: | 2022 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7217 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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