7 citations · 16 across the 9 of their papers we have counts for
Showing 2010Show all
2 papers · 1 filter
math.CA2010★ 2 cited
At which points exactly has Lebesgue's singular function the derivative zero ?
Kiko Kawamura
Let L_a(x) be Lebesgue's singular function with a real parameter a (0<a<1, a not equal to 1/2). As is well known, L_a(x) is strictly increasing and has a derivative equal to zero a…
math.CA2010★ 7 cited
The improper infinite derivatives of Takagi's nowhere-differentiable function
Pieter C. Allaart, Kiko Kawamura
Let T be Takagi's continuous but nowhere-differentiable function. Using a representation in terms of Rademacher series due to N. Kono, we give a complete characterization of those…