Bojanov–Naidenov problem for differentiable functions and the Erdös problem for polynomials and splines
UDC 517.5 We solve the extremal problem $$\big\|x^{(k)}_{\pm}\big\|_{L_p[a, b]} \to \sup, \quad k=0,1,\ldots ,r-1,\quad p > 0 ,$$ in the class of pairs $(x, I)$ of functions $x\in S^k_{\varphi}$ such that $ \varphi^{(i)} $ are the comparison function...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7259 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |