On a space of functions representable by derivatives (Q790267)
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: On a space of functions representable by derivatives |
scientific article; zbMATH DE number 3847688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a space of functions representable by derivatives |
scientific article; zbMATH DE number 3847688 |
Statements
On a space of functions representable by derivatives (English)
0 references
1982
0 references
The main result is: for each function f which is the uniform limit of a sequence of bounded functions on [0,1] each with only finitely many discontinuities, there exist derivatives \(f_ 1\), \(f_ 2\) and \(f_ 3\) such that \(f=f_ 1+f_ 2f_ 3\).
0 references
space of bounded functions
0 references
uniform limit of a sequence of bounded functions
0 references
representation of functions by derivatives
0 references