Affiliation: Université Jean Monnet, St Etienne, France
Email: grekos@univ-st-etienne.fr
Title Of Talk: On weighted densities
URL: http://www.univ-st-etienne.fr/laral/
Abstract: [ Work in common with Rita Giuliano-Antonini (I-Pisa) and Ladislav Misik (CZ-Ostrava) ] We consider weighted densities of sets of natural numbers. The weight function is $n^\alpha$ where $\alpha$ is a real number, $\alpha \geq -1.$ Thus $\alpha=0$ furnishes the usual asymptotic (or natural) density and for $\alpha=-1$ we get the logarithmic density. We study the continuity of the upper and of the lower density, with respect to the parameter $\alpha.$
Last update made Thu Nov 11 14:46:27 EST 2004.
Please report problems to:
frank@math.ufl.edu