ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 70,   2   (2001)
pp.   269-280

AVERAGING AT ANY LEVEL
P.L. Papini


Abstract.  In this paper we study the behaviour of two functions which can be defined in normed spaces: they measure, for finite sets on the unit sphere, ``average distances'' from points in smaller spheres. We also study these functions when only pairs of opposite points are considered. We generalize some results indicated in recent papers, concerning the values of these functions when ``average distances'' are measured from points in the unit sphere of the space.

AMS subject classification.  Primary 46B20 46B04
Keywords

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