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Generalized-differentiable functions

✍ Scribed by V. I. Norkin


Publisher
Springer US
Year
1980
Tongue
English
Weight
234 KB
Volume
16
Category
Article
ISSN
1573-8337

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Operator differentiable functions
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We develop the notion of local fractional derivative introduced by Kolvankar and Gangal. It allows a fine study of the local structure of irregular (fractal) functions. Using this tool, we extend classical theorems of analysis (extrema, Rolle) to non-differentiable functions. In particular, we prove