RT Journal Article
T1 Second order differentiability and related topics in the Takagi Class
A1 Ferrera Cuesta, Juan
A1 Gómez Gil, Javier
A1 Llorente Jorge, Jesús
AB In this paper we study some properties concerning the second order differentiability of  the functions belonging to the Takagi class as well as the size of the sets where these properties hold. In particular, we characterize the set of points where these functions have a Taylor expansion of order two. Moreover, we also characterize  when they satisfy a Stepanov condition of order two at a point. In this context, the convexity of such functions is also investigated. Finally, some interesting examples are provided.
PB Michigan State University Press
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/133275
UL https://hdl.handle.net/20.500.14352/133275
LA eng
NO J. Ferrera, J. Gómez Gil, J. Llorente, Second order differentiability and related topics in the Takagi class, Real Anal. Exchange 47 (2022), no. 1, 207–235.
NO Ministerio de Ciencia, Innovación y Universidades
DS Docta Complutense
RD 19 mar 2026