The local Hölder function of a continuous function
Seuret, Stephane ; Lévy Véhel, Jacques
HAL, inria-00581029 / Harvested from HAL
Text on HAL
This work focuses on the local Hölder exponent as a measure the regularity of a function around a given point. We investigate in detail the structure and the main properties of the local Hölder function (i.e. the function that associates to each point its local Hölder exponent). We prove that it is possible to construct a continuous function with prescribed local and pointwise Hölder functions outside a set of Hausdorff dimension 0.
Publié le : 2002-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{inria-00581029,
     author = {Seuret, Stephane and L\'evy V\'ehel, Jacques},
     title = {The local H\"older function of a continuous function},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00581029}
}

Seuret, Stephane; Lévy Véhel, Jacques. The local Hölder function of a continuous function. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/inria-00581029/