A probabilistic property of Katsuura's continuous nowhere differentiable function
| Autor: | Thomas M. Lewis |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Property (philosophy)
Continuous function Applied Mathematics Mathematical analysis Kiesswetter curves Probabilistic logic Function (mathematics) Self-affine functions Continuous nowhere differentiable functions Katsuura's function Probability theory Applied mathematics Probability distribution Differentiable function Analysis Occupation measure Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 353:224-231 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2008.11.073 |
| Popis: | Katsuura's example of a continuous nowhere differentiable function is based on a fixed-point method. In this paper we use probability theory to study the increments of Katsuura's function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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