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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Bibliographic Details
Main Author: V.A. Kofanov
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024-12-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/434/434
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