MSC: | 11A63 |
Radix representation; digital problems {For metric results, see 11K16} |

39B22 |
Equations for real functions [See also 26A51, 26B25] | |

26A30 |
Singular functions, Cantor functions, functions with other special properties | |

ZDM: | - | |

CR: | - | |

PACS: | - |

**Abstract:**
In this paper we derive functional relations and explicit representations at
dyadic points for Takagi's continuous nowhere differentiable function $T$
and also for functions which are connected with $T$. As consequence we get
formulas for binary digital sums, namely the Trollope-Delange formula for
the number of ones, a formula counting the zeros as well as a formula for
the alternating sum of digits.

karin.martin@uni-rostock.de

Seite generiert am 18.11.2008, 17:06 Uhr