On H\"{o}lder exponents of the self-similar functions
Functional Analysis
2018-03-26 v1
Abstract
We study the class of affine self-similar and continuous on interval functions. Formulas for the H\"{o}lder exponents are obtained in terms of self-similarity parameters.
Cite
@article{arxiv.1803.08756,
title = {On H\"{o}lder exponents of the self-similar functions},
author = {Igor Sheipak},
journal= {arXiv preprint arXiv:1803.08756},
year = {2018}
}
Comments
in Russian, 4 figures