Infinite derivatives of the Takagi-Van der Waerden functions

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https://doi.org/10.1016/j.jmaa.2019.06.063

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2019

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Elsevier
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https://hdl.handle.net/20.500.14352/133232

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J. 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.

Abstract

In 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.

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Análisis matemático

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1202.10 Funciones de Variables Reales, 1202.17 Medida, Integración, Area

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