Interpolation estimates for entropy numbers with applications to non-convex bodies

Autores: Mieczyslaw Mastylo
Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 162, Nº 1, 2010, págs. 10-23
Idioma: inglés
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Resumen
- 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 Calder´on�Lozanovskii spaces to approximation of the volume of '-absolute convex hull of n points in Rk generated by a class of concave functions.