Sharp Nagy type inequalities for the classes of functions with given quotient of the uniform norms of positive and negative parts of a function
For any $p\in (0, \infty],$ $\omega > 0,$ $d \ge 2 \omega,$ we obtain the sharp inequality of Nagy type $$ \|x_{\pm}\|_\infty \le \frac{\|(\varphi+c)_{\pm}\|_\infty}{\|\varphi+c\|_{L_p(I_{2\omega} )}} \left\|x \right\|_{L_{p} \left(I_d \right)} $$ on the set $S_{\varphi}(\omega)$ of $d$-pe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2020-08-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/124/124 |