Necessary and sufficient conditions for interval-valued differentiability

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URI: http://hdl.handle.net/10498/28162

DOI: 10.1002/mma.8647

ISSN: 2319-2333

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Author/s
Osuna Gómez, Rafaela; Mendonca da Costa, Tiago; Hernández Jiménez, Beatriz; Ruiz Garzón, GabrielAuthority UCA
Date
2023
Department
Estadística e Investigación Operativa
Source
Mathematical Methods in the Applied Sciences, Vol. 46, Núm. 2, pp. 2319-2333
Abstract
This paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hukuhara differentiability are presented.
Subjects
generalized Hukuhara differentiability; interval analysis; interval-valued functions
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional