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Interpolation estimates for entropy numbers with applications to non-convex bodies
Authors:
- Mieczysław Mastyło
Abstract
We complement classical results on the interpolation of entropy numbers as well as certain s-numbers and present an application to a class of non-convex bodies which are generalizations of p-convex bodies. In particular we apply the estimates of entropy numbers of operators on Calderón-Lozanovskii spaces to approximation of the volume of φ-absolute convex hull of n points in Rk generated by a class of concave functions. © 2009 Elsevier Inc. All rights reserved.
- Record ID
- UAMa2f0812023264d8f84e5c879929be099
- Author
- Journal series
- Journal of Approximation Theory, ISSN 0021-9045
- Issue year
- 2010
- Vol
- 162
- Pages
- 10-23
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.1016/j.jat.2009.02.002 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 5; = 6; : 2010 = 1.256; : 2010 (2 years) = 0.710 - 2010 (5 years) =1.040
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMa2f0812023264d8f84e5c879929be099/
- URN
urn:amu-prod:UAMa2f0812023264d8f84e5c879929be099
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.