Approximate high order smoothness (Q1314845)
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: Approximate high order smoothness |
scientific article; zbMATH DE number 508726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate high order smoothness |
scientific article; zbMATH DE number 508726 |
Statements
Approximate high order smoothness (English)
0 references
26 July 1994
0 references
The authors introduce the notion of the approximate \(m\)-smoothness of functions and investigate the properties of approximately continuous and approximately \(m\)-smooth functions. The inspiration of the authors was the paper of \textit{T. K. Dutta} [Acta Math. Acad. Sci. Hung. 40, 29-37 (1982; Zbl 0511.26006)] in which the notion of high order smoothness is introduced. ``\dots the purpose of this paper is to show that results analogous to those of Dutta carry over to this setting\dots''.
0 references
approximate Peano derivative
0 references
\(\text{Baire}^* 1\) function
0 references
Darboux property
0 references
approximate \(m\)-smoothness
0 references
