Elementary construction of Hölder functions such that the Kurzweil-Stieltjes integral does not exist
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509376" target="_blank" >RIV/00216208:11320/25:10509376 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=i.CZmdq2nd" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=i.CZmdq2nd</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/CMJ.2024.0296-23" target="_blank" >10.21136/CMJ.2024.0296-23</a>
Alternative languages
Result language
angličtina
Original language name
Elementary construction of Hölder functions such that the Kurzweil-Stieltjes integral does not exist
Original language description
For any α, β > 0 with α + β < 1 we provide a simple construction of an α-Hölde function f: [0, 1] RIGHTWARDS ARROW ℝ and a β-Hölder function g: [0, 1] RIGHTWARDS ARROW ℝ such that the integral INTEGRAL<inf>0</inf><sup>1</sup>fdg fails to exist even in the Kurzweil-Stieltjes sense.
Czech name
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Czech description
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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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Czechoslovak Mathematical Journal
ISSN
0011-4642
e-ISSN
1572-9141
Volume of the periodical
75
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
345-356
UT code for WoS article
001197097500001
EID of the result in the Scopus database
2-s2.0-105001060475