Measuring Functions Smoothness with Local Fractional Derivatives
Résumé
We study a notion of local fractional differentiation, obtained by localizing the classical fractional derivative. We show that it is strongly related with the local Hölder exponent, and give an interpretation of this result in terms of 2-microlocal analysis.
Domaines
Probabilités [math.PR]
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Measuring-functions-smoothness-with-local-fractional-derivatives.pdf (195.25 Ko)
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