The Bojanov-Naidenov problem for the functions with non-symmetric restrictions on the oldest derivative
For given $r \in \NN$, $p, \alpha, \beta, \mu > 0$, we solve theextremal problems$$\int\nolimits_{a}^{b} x^q_{\pm}(t)dt \to \sup, \;\;\;\; q\ge p,\;$$on the set of pair $(x, I)$ functions $x\in L^r_{\infty}$ andintervals $I=[a,b] \subset \RR$ satisfying the inequalities $ -\beta\le x^{(r)...
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| Date: | 2021 |
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| Main Author: | |
| Format: | Article |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/254 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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