A CHEBYSHEV SYSTEM APPROACH TO THE BOUNDARY BEHAVIOUR OF THE SUBLINEAR FUNCTIONS

Abstract

The aim of this note is to show that the problem of the augmentation of a function system consisting of the coordinate functions of a parametrization of a convex surface in R^n-1 with 0 in its interior, to a Chebyshev system of order n-3 [9] has its natural interpretation in the context of the boundary behaviour of a strictly sublinear or a strictly superlinear function.