On ideals defined by asymptotic distribution functions of ratio block sequences

Janos T. Toth, Jozsef Bukor, Ferdinánd Filip, Ladislav Misık


In this paper we study ratio block sequences possessing an asymptotic distribution function. By means of these distribution functions we define new families of subsets of $\mathbb N$ which appear to be admissible ideals. We characterize these ideals using the exponent of convergence and this characterization is useful in decision if a given set belongs to a given ideal of this kind.


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