The γ - Dimension of Images the Integral Staircase

In this paper, we have proved that the integral staircase function defined in the γ-dimensional compact set F satisfies the bi-Lipschitz condition of order α∈(0,1) and as a consequence, the image of the integral staircase function does not preserve γ-dimension of its domain.

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-05, Vol.1218 (1), p.12021
Main Authors: Wibowo, S, Kurniawan, V Y, Siswanto
Format: Article
Language:English
Subjects:
Integrals
Lipschitz condition
Physics
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Description
Summary:In this paper, we have proved that the integral staircase function defined in the γ-dimensional compact set F satisfies the bi-Lipschitz condition of order α∈(0,1) and as a consequence, the image of the integral staircase function does not preserve γ-dimension of its domain.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1218/1/012021