RT Journal Article
T1 Superdifferential Analysis of the Takagi-Van Der Waerden Functions
A1 Ferrera Cuesta, Juan
A1 Gómez Gil, Javier
A1 Llorente Márquez, Jesús
AB In this work we completely describe the superdifferential of the Takagi-Van der Waerden functions and, as a consequence, the local maxima of these functions are characterized. Regarding the set of points where the superdifferential is not empty, we calculate its Hausdorff dimension as well as its corresponding Hausdorff measure. To do so, for any even integer greater than or equal to two we determine the 1/2-dimensional Hausdorff measure of the set of points where Takagi-Van der Waerden functions attain their global maximum.
PB Springer Nature
SN 1877-0533
YR 2021
FD 2021-11-22
LK https://hdl.handle.net/20.500.14352/4668
UL https://hdl.handle.net/20.500.14352/4668
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2021)
DS Docta Complutense
RD 27 abr 2024