Measuring Functions Smoothness with Local Fractional Derivatives
Kolwankar, Kiran, ; Lévy Véhel, Jacques
HAL, inria-00578645 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{inria-00578645,
     author = {Kolwankar, Kiran,  and L\'evy V\'ehel, Jacques},
     title = {Measuring Functions Smoothness with Local Fractional Derivatives},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00578645}
}

Kolwankar, Kiran, ; Lévy Véhel, Jacques. Measuring Functions Smoothness with Local Fractional Derivatives. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/inria-00578645/