Generalization of the classical derivative and analogue of the differentiation operator as a toolset for studying the differential properties of functions

In this paper, we consider a $(u, w)$--derivative that is a generalization of a classical derivative and an operator defined by the equality $Sqxuv f (x) = \lim\limits_{h \rightarrow 0}\frac{Squv f(x)}{Squv x}$, where $Squv f(x)$ is the oscillation of the function $ f $ on the interval with the ends...

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Bibliographic Details
Date:2020
Main Authors: Osaulenko, R.Yu., Осауленко, Р.Ю.
Format: Article
Language:Ukrainian
English
Published: Інститут математики НАН України 2020
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/399
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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