| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899978 | Journal of Mathematical Analysis and Applications | 2018 | 8 Pages |
Abstract
A new concept of small subsets of the real line is presented. It is a generalization of different kinds of microscopic sets considered previously. We compare these sets with Lebesgue null sets, with sets of strong measure zero. With this approach we are able to get families of fractals - sets with fractional Hausdorff dimension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Grażyna Horbaczewska,