Ferrera Cuesta, JuanGómez Gil, JavierLlorente Jorge, Jesús2026-02-252026-02-252019J. Ferrera, J. Gómez Gil, J. Llorente, Infinite derivatives of the Takagi–Van der Waerden functions, J. Math. Anal. Appl. 479 (2019), no. 1, 987–1003.10.1016/j.jmaa.2019.06.063https://hdl.handle.net/20.500.14352/133232In this paper we characterize the set of points where the lateral derivatives of the Takagi-Van der Waerden functions are infinite. We also prove that the set of points with infinite derivative has Hausdorff dimension one.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articlehttps://doi.org/10.1016/j.jmaa.2019.06.063open accessTakagi-Van der Waerden functionsInfinite derivativesHausdorff dimensionLebesgue measureAnálisis matemático1202.10 Funciones de Variables Reales1202.17 Medida, Integración, Area