On ideals defined by asymptotic distribution functions of ratio block sequences
Filomat, Tome 35 (2021) no. 12, p. 3945
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Classification :
40A05, 40A35, 11J71
Keywords: ideals of sets of positive integers, distribution functions, block sequences, exponent of convergence
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/}
}
TY - JOUR AU - János T Tóth AU - József Bukor AU - Ferdinánd Filip AU - Ladislav Mišík TI - On ideals defined by asymptotic distribution functions of ratio block sequences JO - Filomat PY - 2021 SP - 3945 VL - 35 IS - 12 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2112945T/ DO - 10.2298/FIL2112945T LA - en ID - 10_2298_FIL2112945T ER -
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