On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers

DOI10.5402/2012/387053zbMath1242.26042OpenAlexW2025974488WikidataQ58690651 ScholiaQ58690651MaRDI QIDQ429074

Khodr Shamseddine, Todd Sierens

Publication date: 26 June 2012

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/387053

zbMATH Keywords

locally uniformly differentiable functionsnon-Archimedean field extension

Mathematics Subject Classification ID

Non-Archimedean analysis (26E30)

Related Items (6)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ Analysis on the Levi-Civita field and computational applications ⋮ A local mean value theorem for functions on non-Archimedean field extensions of the real numbers ⋮ A weaker smoothness criterion for the inverse function theorem, the intermediate value theorem, and the mean value theorem in a non-Archimedean setting ⋮ Taylor's theorem, the inverse function theorem and the implicit function theorem for weakly locally uniformly differentiable functions on non-Archimedean spaces ⋮ Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem

Cites Work

• The implicit function theorem in a non-Archimedean setting
• Fields: Algebraically closed and others
• Real Analysis and Applications
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• Allgemeine Bewertungstheorie.
• The universality of formal power series fields
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