Diameters of random vectors and their applications in approximation theory (Q920325)
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: Diameters of random vectors and their applications in approximation theory |
scientific article; zbMATH DE number 4163470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diameters of random vectors and their applications in approximation theory |
scientific article; zbMATH DE number 4163470 |
Statements
Diameters of random vectors and their applications in approximation theory (English)
0 references
1988
0 references
Combining the extremal approach from approximation theory and averaging, which is standard in probability theory, the author introduces a construction of the diameter of a random vector. Upper estimates and, under certain conditions, lower estimates of the mentioned diameter are given (in some special cases the diameter is calculated exactly). Then approximation by splines and quadratures in \(W^ 1_ p\) are investigated.
0 references
averaging
0 references
random vector
0 references
Upper estimates
0 references
lower estimates
0 references
diameter
0 references
quadratures
0 references
0.8946174
0 references
0.8921775
0 references
0.89171976
0 references
0 references
0 references
0.8839346
0 references
0.87949824
0 references
0.8763358
0 references
0.8754041
0 references
0.8752611
0 references
