Distribution functions of ratio sequences, III
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F13%3AA14018WQ" target="_blank" >RIV/61988987:17310/13:A14018WQ - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Distribution functions of ratio sequences, III
Original language description
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) ofx(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, ...
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PUBL MATH-DEBRECEN
ISSN
0033-3883
e-ISSN
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Volume of the periodical
82
Issue of the periodical within the volume
3-4
Country of publishing house
HU - HUNGARY
Number of pages
19
Pages from-to
511-529
UT code for WoS article
000320344200001
EID of the result in the Scopus database
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