RT Journal Article
T1 A characterization  of the nowhere differentiable functions in the Generalized Takagi class
A1 Ferrera Cuesta, Juan
A1 Gómez Gil, Javier
A1 Llorente Jorge, Jesús
AB 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].
PB Springer Nature
YR 2024
FD 2024
LK https://hdl.handle.net/20.500.14352/133207
UL https://hdl.handle.net/20.500.14352/133207
LA eng
NO J. 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).
DS Docta Complutense
RD 18 mar 2026