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Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers

It is well-known that the notion of limit in the sharp topology of sequences of Colombeau generalized numbers [Formula: see text] does not generalize classical results. E.g. the sequence [Formula: see text] and a sequence [Formula: see text] converges if and only if [Formula: see text] . This has se...

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Detalles Bibliográficos
Autores principales: Mukhammadiev, A., Tiwari, D., Apaaboah, G., Giordano, P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550461/
https://www.ncbi.nlm.nih.gov/pubmed/34720197
http://dx.doi.org/10.1007/s00605-021-01590-0