On ideals defined by asymptotic distribution functions of ratio block sequences
Filomat, Tome 35 (2021) no. 12, p. 3945

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DOI

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 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
DOI : 10.2298/FIL2112945T
Classification : 40A05, 40A35, 11J71
Keywords: ideals of sets of positive integers, distribution functions, block sequences, exponent of convergence
János T Tóth; József Bukor; Ferdinánd Filip; Ladislav Mišík. On ideals defined by asymptotic distribution functions of ratio block sequences. Filomat, Tome 35 (2021) no. 12, p. 3945 . doi: 10.2298/FIL2112945T
@article{10_2298_FIL2112945T,
     author = {J\'anos T T\'oth and J\'ozsef Bukor and Ferdin\'and Filip and Ladislav Mi\v{s}{\'\i}k},
     title = {On ideals defined by asymptotic distribution functions of ratio block sequences},
     journal = {Filomat},
     pages = {3945 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112945T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112945T/}
}
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