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Listar por palabra clave "Lipschitz"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Lipschitz"

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    Extension procedures for lattice Lipschitz operators on Euclidean spaces 
    Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2023-04)
    [EN] We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and Whitney formulas provide the same extension result that holds for ...
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    McShane-Whitney extensions for fuzzy Lipschitz maps 
    Jiménez Fernández, Eduardo; Rodríguez López, Jesús; Sánchez Pérez, Enrique Alfonso (Elsevier, 2021-02-28)
    [EN] We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical ...
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    Measure-Based Extension of Continuous Functions and p-Average-Slope-Minimizing Regression 
    Arnau-Notari, Andres Roger; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso (MDPI AG, 2023-04-07)
    [EN] This work is inspired by some recent developments on the extension of Lipschitz real functions based on the minimization of the maximum value of the slopes of a reference set for this function. We propose a new method ...
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    Representation of Lipschitz Maps and Metric Coordinate Systems 
    Arnau-Notari, Andres Roger; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso (MDPI AG, 2022-10)
    [EN] Here, we prove some general results that allow us to ensure that specific representations (as well as extensions) of certain Lipschitz operators exist, provided we have some additional information about the underlying ...