Some results of the local theory of smooth functions

We present results of the investigation of the local behavior of smooth functions in neighborhoods of their regular and critical points and prove theorems on the mean values of the functions considered similar to the Lagrange finite-increments theorem. We also study the symmetry of the derivative of...

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Bibliographic Details
Date:2007
Main Authors: Samoilenko, A. M., Самойленко, А. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3306
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal