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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| Date: | 2020 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Інститут математики НАН України
2020
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| 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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