Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F21%3AA0000257" target="_blank" >RIV/47813059:19520/21:A0000257 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-021-06251-w/metrics" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-021-06251-w/metrics</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-021-06251-w" target="_blank" >10.1007/s00500-021-06251-w</a>

Result language
angličtina
Original language name
Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties
Original language description
This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties of the gH-Clarke derivative, the concepts of limit superior, limit inferior, and sublinear interval-valued functions are studied in the sequel. It is proved that the upper gH-Clarke derivative of a gH-Lipschitz continuous interval-valued function (IVF) always exists. For a convex and gH-Lipschitz IVF, the upper gH-Clarke derivative is found to be identical with the gH-directional derivative. It is observed that the upper gH-Clarke derivative is a sublinear IVF. Several numerical examples are provided to support the entire study.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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