Inequalities for interval-valued Riemann diamond-alpha integrals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F23%3AA2402KPT" target="_blank" >RIV/61988987:17310/23:A2402KPT - isvavai.cz</a>
Result on the web
<a href="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-023-02993-3" target="_blank" >https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-023-02993-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13660-023-02993-3" target="_blank" >10.1186/s13660-023-02993-3</a>

Result language
angličtina
Original language name
Inequalities for interval-valued Riemann diamond-alpha integrals
Original language description
We propose the concept of Riemann diamond-alpha integrals for time scales interval-valued functions. We first give the definition and some properties of the interval Riemann diamond-alpha integral that are naturally investigated as an extension of interval Riemann nabla and delta integrals. With the help of the interval Riemann diamond-alpha integral, we present interval variants of Jensen inequalities for convex and concave interval-valued functions on an arbitrary time scale. Moreover, diamond-alpha Hölder’s and Minkowski’s interval inequalities are proved. Also, several numerical examples are provided in order to illustrate our main results.
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

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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