Sharp inequalities of various metrics on the classes of functions with given comparison function
For any $q > p > 0$, $\omega > 0,$ $d \ge 2 \omega,$ we obtain the following sharp inequality of various metrics $$ \|x\|_{L_q(I_{d})} \le \frac{\|\varphi + c\|_{L_q(I_{2\omega})}}{\|\varphi + c \|_{L_p(I_{2\omega})}} \|x\|_{L_p(I_{d})} $$ on the set $S_{\varphi}(\omega)$ of $d$-peri...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2021-07-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/247 |