On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions

We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative.

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Bibliographic Details
Date:1999
Main Authors: Babenko, V. F., Selivanova, S. A., Бабенко, В. Ф., Селиванова, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4594
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal