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

AbstractWe 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