Consequences of the product rule in Stieltjes differentiability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00600110" target="_blank" >RIV/67985840:_____/25:00600110 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.37193/CJM.2025.01.10" target="_blank" >https://doi.org/10.37193/CJM.2025.01.10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.37193/CJM.2025.01.10" target="_blank" >10.37193/CJM.2025.01.10</a>

Result language
angličtina
Original language name
Consequences of the product rule in Stieltjes differentiability
Original language description
This work revolves around the study of differentiability in the Stieltjes sense of a product of functions. A formula for the first order derivative has been obtained in the past, which is similar to the usual one with some extra terms in its expression. The aim of this paper is to take this behavior into account to study under which conditions we can guarantee the existence of higher order derivatives, while obtaining some other interesting results for the Stieltjes derivative along the way. We also investigate the regularity of the product of two functions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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