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

The result's identifiers

  • 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

  • DOI - Digital Object Identifier

Alternative languages

  • 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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    RAMANUJAN J

  • ISSN

    1382-4090

  • e-ISSN

  • 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

  • EID of the result in the Scopus database