A cantor function constructed by continued fractions
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- by F. Herzog and B. H. Bissinger PDF
- Bull. Amer. Math. Soc. 53 (1947), 104-115
References
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1. F. Bernstein, Über eine Anwendung der Mengenlehre auf ein aus der Theorie der säkularen Störungen herrührendes Problem, Math. Ann. vol. 71 (1912) pp. 417-439.
2. C. Carathéodory, Vorlesungen über reelle Funktionen, Leipzig and Berlin, 1927.
- R. E. Gilman, A class of functions continuous but not absolutely continuous, Ann. of Math. (2) 33 (1932), no. 3, 433–442. MR 1503068, DOI 10.2307/1968527
- F. Herzog and B. H. Bissinger, A generalization of Borel’s and F. Bernstein’s theorems on continued fractions, Duke Math. J. 12 (1945), 325–334. MR 12346, DOI 10.1215/S0012-7094-45-01227-0
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Additional Information
- Journal: Bull. Amer. Math. Soc. 53 (1947), 104-115
- DOI: https://doi.org/10.1090/S0002-9904-1947-08749-8
- MathSciNet review: 0019695