Box dimension of the limit of Hölder functions (Q418210)
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scientific article; zbMATH DE number 6038692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Box dimension of the limit of Hölder functions |
scientific article; zbMATH DE number 6038692 |
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Box dimension of the limit of Hölder functions (English)
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28 May 2012
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The main result of the present paper establishes a theorem on the box dimension of the graph of the limit of a sequence of \(\alpha\)-Hölder functions. A relevant application provides the box dimensions of the graphs of some functions that are generalizations of Weierstrass-type functions.
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Hölder continuous functions
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box dimension
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Weierstrass-type functions
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