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A generalization of Hata-Yamaguti’s results on the Takagi function

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Abstract

We shall generalize Hata and Yamaguti’s results on a system of infinitely many difference equations and on the connection between the Takagi function and Lebesgue’s singular function.

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References

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Authors and Affiliations

  1. Information Science Major, Faculty of Liberal Arts, Tôhoku Gakuin University, Ichinazaka, Izumi-ku, 981-31, Sendai, Japan

    Takeshi Sekiguchi

  2. Department of Mathematics, Akita University, Tegata, 010, Akita, Japan

    Yasunobu Shiota

Authors
  1. Takeshi Sekiguchi
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  2. Yasunobu Shiota
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Additional information

This research was partially supported by the Grant-in-Aid for Scientific Research (No. 01540008), Ministry of Education, Science and Culture, Japan.

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Cite this article

Sekiguchi, T., Shiota, Y. A generalization of Hata-Yamaguti’s results on the Takagi function. Japan J. Indust. Appl. Math. 8, 203 (1991). https://doi.org/10.1007/BF03167680

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  • DOI: https://doi.org/10.1007/BF03167680

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