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
—