Dimensions of graphs of functions and lacunary decompositions of spline approximations (Q1852350)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dimensions of graphs of functions and lacunary decompositions of spline approximations |
scientific article; zbMATH DE number 1848819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dimensions of graphs of functions and lacunary decompositions of spline approximations |
scientific article; zbMATH DE number 1848819 |
Statements
Dimensions of graphs of functions and lacunary decompositions of spline approximations (English)
0 references
5 January 2003
0 references
The author gives a construction which shows how to decompose an arbitrary continuous function defined on [0,1] into a sum of two continuous functions each having a graph of Hausdorff dimension one.
0 references
decomposition
0 references
continuous function
0 references
graph of continuous function
0 references
Hausdorff dimension
0 references
packing dimension
0 references
