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Ideal extensions of Olivier's theorem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202BMT" target="_blank" >RIV/61988987:17310/21:A2202BMT - isvavai.cz</a>

  • Result on the web

    <a href="https://msupress.org/journals/real-analysis-exchange/" target="_blank" >https://msupress.org/journals/real-analysis-exchange/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14321/realanalexch.46.1.0261" target="_blank" >10.14321/realanalexch.46.1.0261</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Ideal extensions of Olivier's theorem

  • Original language description

    Let p; q be given positive numbers and a; b non-negative ones. In this paper we study and characterize the class S(a; b; p; q) of all admissible ideals I in N with the property that a convergence of some series contained a sequence (a_n) implies the I-convergence of a special related sequence, for all sequences (a_n) of positive real numbers. In a series of corollaries we discuss special cases including, also, several previously published theorems on this topic.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Real Analysis Exchange

  • ISSN

    0147-1937

  • e-ISSN

    1930-1219

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    261-268

  • UT code for WoS article

  • EID of the result in the Scopus database