Topological stability of averagings of functions with respect to probability measures with piecewise constant densities

We present sufficient conditions for a topological stability of averagigns of piece-wise differentiable functions $f\colon \mathbb{R}\to\mathbb{R}$ with finitely many local extremes with respect to probability measures with piecewise constant densities.

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Bibliographic Details
Date:2015
Main Authors: Maksymenko, S. I., Marunkevych, O. V., Максименко, С. І., Марункевич, О. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/147
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine