Topological stability of the averagings of functions

We present sufficient conditions for the topological stability of the averagings of piecewise smooth functions $f : R \rightarrow R$ with finitely many extrema with respect to discrete measures with finite supports.

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Bibliographic Details
Date:2016
Main Authors: Maksimenko, S. I., Marunkevych, O. V., Максименко, С. І., Марункевич, О. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1866
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal