17 citations · 59 across the 22 of their papers we have counts for
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math.CA2010
An inequality for sums of binary digits, with application to Takagi functions
Pieter C. Allaart
This paper considers a parametrized family of generalized Takagi functions f_p with parameter p. Tabor and Tabor [J. Math. Anal. Appl. 356 (2009), 729-737] recently proved that for…
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…