Lebesgue measure and Hausdorff dimension of special sets of real numbers from (0,1)

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F12%3AA130107N" target="_blank" >RIV/61988987:17610/12:A130107N - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Lebesgue measure and Hausdorff dimension of special sets of real numbers from (0,1)

Original language description

We give a result concerning the Hausdorff dimension and estimation of the Lebesgue measure for the sets of continued fractions of the type $a=[a_1,a_2,ldots]$ where $a_n$ belongs to a set $S_nsubset mathbb N$ for every $ninmathbb N$. The upper boundfor the Hausdorff dimension of the set of numbers with continued fractional expansions which fulfill some properties of asymptotic densities is included.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

RAMANUJAN J

ISSN

1382-4090

e-ISSN

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Volume of the periodical

28

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

15-23

UT code for WoS article

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EID of the result in the Scopus database

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