Fractal dimensions for inclusion hyperspaces and non-additive measures
Journal Title: Математичні Студії - Year 2018, Vol 50, Issue 1
Abstract
Analogues of Hausdorff dimension, upper and lower box dimensions for the inclusion hyperspaces and non-additive regular measures (capacities) on metric compacta are introduced. Their relations to the respective dimensions of sets and additive measures are investigated. Methods for finding and estimating fractal dimensions of self-similar inclusion hyperspaces and self-similar non-additive measures are presented.
Authors and Affiliations
I. Hlushak, O. R. Nykyforchyn
Keywords
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- EP ID EP436165
- DOI 10.15330/ms.50.1.3-21
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