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On Relation between Asymptotic and Abel Densities

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F20%3AA21023JU" target="_blank" >RIV/61988987:17310/20:A21023JU - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0022314X19303397" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022314X19303397</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jnt.2019.09.007" target="_blank" >10.1016/j.jnt.2019.09.007</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Relation between Asymptotic and Abel Densities

  • Original language description

    A natural method how to measure sets of natural numbers is the asymptotic density which is a special case of weighted densities. These densities are based on the Riesz summation method. A completely different approach is the Abel summation method. This leads to the concept of the Abel density. In this paper we prove estimates of the values of the lower and upper Abel densities, depending on values of the lower and upper asymptotic densities.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    J NUMBER THEORY

  • ISSN

    0022-314X

  • e-ISSN

  • Volume of the periodical

    209

  • Issue of the periodical within the volume

    April

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    451-466

  • UT code for WoS article

    000510315400021

  • EID of the result in the Scopus database

    2-s2.0-85074392610