Kolmogorov-type inequalities for functions with asymmetric restrictions on the highest derivative
For $k, r\in {\rm \bf N}$, $k<r$; $q\ge 1$, $p>0$; $\alpha, \beta>0$ and for functions $x\in L_{\infty}^r({\rm\bf R})$ inequalities that estimate the norm $\|x_{\pm }^{(k)}\|_{L_q[a,b]}$ on an arbitrary segment $[a,b] \subset {\rm\bf R}$ such that $\;x^{(k)}(a)=x^{(k)}(b)=0$ via a local no...
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Format: | Article |
Language: | English |
Published: |
Oles Honchar Dnipro National University
2024-12-01
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Series: | Researches in Mathematics |
Subjects: | |
Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/434/434 |
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