On some inequalities in various metrics for differentiable functions on real line

We obtain the estimates of the seminorms of Weil of the functions on the real line and their derivatives with the help of local $L_p$-norms of the functions and uniform norms of their highest derivatives.

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Bibliographic Details
Published in:Researches in mathematics (Online) 2021-01, Vol.18, p.123
Main Author: Kofanov, V.A.
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:We obtain the estimates of the seminorms of Weil of the functions on the real line and their derivatives with the help of local $L_p$-norms of the functions and uniform norms of their highest derivatives.
ISSN:2664-4991
2664-5009
DOI:10.15421/241014