Ferrera Cuesta, JuanGómez Gil, JavierLlorente Jorge, Jesús2026-02-252026-02-252024J. Ferrera, J. Gómez Gil, J. Llorente, A characterization of the nowhere differentiable functions in the Generalized Takagi Class, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 2025 Oct 22; 119 (7).10.1007/s13398-024-01673-1https://hdl.handle.net/20.500.14352/133207In this paper, we explore the non-differentiability behavior of the functions belonging to the Generalized Takagi class, a recent generalization of the Takagi function. It is derived by replacing the dyadic numbers used in the definition of classical Takagi function with an arbitrary countable and dense subset of [0, 1]. Subject to specific conditions on the decomposition of such a set, we demonstrate that a function within this class is nowhere differentiable if and only if the sequence of weights does not belong to c[subíndice 0].engjournal articlehttps://doi.org/10.1007/s13398-024-01673-1open accessThe Takagi functionGeneralized Takagi classNowhere differentiable functionsFréchet subdifferentialAnálisis matemático1202.10 Funciones de Variables Reales1202.17 Medida, Integración, Area