%0 Journal Article
%A Ferrera Cuesta, Juan
%A Gómez Gil, Javier
%A Llorente Jorge, Jesús
%T A characterization  of the nowhere differentiable functions in the Generalized Takagi class
%D 2024
%U https://hdl.handle.net/20.500.14352/133207
%X In 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].
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