On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f''' \|_1$
We solve the Landau-Kolmogorov problem on finding sharp additive inequalities that estimate $\| f' \|_{\infty}$ in terms of $\| f \|_{\infty}$ and $\| f''' \|_1$. Simultaneously we solve related problems of the best approximation of first order differentiation operator $D^1$ by linear bounded ones a...
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| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
Oles Honchar Dnipro National University
2019-07-01
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| Serie: | Researches in Mathematics |
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| Accesso online: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/113 |
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