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  • In this paper we study the distribution functions g(x) of the sequence of blocks X-n = (x(1/)x(n), x(2)/x(n), ... , x(n)/x(n)), n = 1, 2, ... , where x(n) is an increasing sequence of positive integers. Assuming that the lower asymptotic density (sic) of x(n), is positive, we find the optimal lower and upper bounds of g(x). As an application, we also get the,optimal bounds of limit points 1/n Sigma(n)(i=1) x(1)/x(n), n = 1, 2, ...
  • In this paper we study the distribution functions g(x) of the sequence of blocks X-n = (x(1/)x(n), x(2)/x(n), ... , x(n)/x(n)), n = 1, 2, ... , where x(n) is an increasing sequence of positive integers. Assuming that the lower asymptotic density (sic) of x(n), is positive, we find the optimal lower and upper bounds of g(x). As an application, we also get the,optimal bounds of limit points 1/n Sigma(n)(i=1) x(1)/x(n), n = 1, 2, ... (en)
Title
  • Distribution functions of ratio sequences, III
  • Distribution functions of ratio sequences, III (en)
skos:prefLabel
  • Distribution functions of ratio sequences, III
  • Distribution functions of ratio sequences, III (en)
skos:notation
  • RIV/61988987:17310/13:A14018WQ!RIV14-MSM-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • R
http://linked.open...iv/cisloPeriodika
  • 3-4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 69981
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/13:A14018WQ
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • distribution function; ratio block sequence; asymptotic density (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [F8B0E7DB91CB]
http://linked.open...i/riv/nazevZdroje
  • PUBL MATH-DEBRECEN
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 82
http://linked.open...iv/tvurceVysledku
  • Mišík, Ladislav
  • Tóth, János
  • BALÁŽ, Vladimír
  • STRAUCH, Oto
http://linked.open...ain/vavai/riv/wos
  • 000320344200001
issn
  • 0033-3883
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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