On superadditive rates of convergence

On demontre qu'une fonction superadditive est un taux de convergence au sens de V. Ptak si et seulement si ses iterees convergent ponctuellement vers zero. Si, en outre, la fonction est continue a droite, alors, ce fait est equivalent a l'inegalite w(t)<t. Ces resultats s'etendent aux taux de convergence de plusieurs variables

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