Estimation of the rate of decrease (vanishing) of a function in terms of relative oscillations
The relative mean integral oscillations of a nondecreasing equimeasurable rearrangement are estimated from above via the same oscillations of the original function. On the basis of this estimate, we establish a lower order-exact estimate for the rate of decrease (vanishing) of the rearrangement.
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| Datum: | 2019 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1435 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | The relative mean integral oscillations of a nondecreasing equimeasurable rearrangement are estimated from above via the
same oscillations of the original function. On the basis of this estimate, we establish a lower order-exact estimate for the
rate of decrease (vanishing) of the rearrangement. |
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