Email this article Stationary points of the Minkowski function
- Authors: Gayfulin D.R.1, Kan I.D.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Moscow Aviation Institute (National Research University)
- Issue: Vol 212, No 10 (2021)
- Pages: 3-15
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/142337
- DOI: https://doi.org/10.4213/sm9419
- ID: 142337
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Abstract
A new theorem on the derivative of the Minkowski function is proved.Bibliography: 11 titles.
Keywords
About the authors
Dmitry Radislavovich Gayfulin
Steklov Mathematical Institute of Russian Academy of SciencesCandidate of physico-mathematical sciences, no status
Igor' Davidovich Kan
Moscow Aviation Institute (National Research University)
Email: igor.kan@list.ru
Candidate of physico-mathematical sciences, Associate professor
References
- H. Minkowski, Gesammelte Abhandlungen, v. 2, B. G. Teubner, Leipzig–Berlin, 1911, iv+466 pp.
- R. Salem, “On some singular monotonic functions which are strictly increasing”, Trans. Amer. Math. Soc., 53:3 (1943), 427–439
- J. R. Kinney, “Note on a singular function of Minkowski”, Proc. Amer. Math. Soc., 11:5 (1960), 788–794
- P. Viader, J. Paradis, L. Bibiloni, “A new light on Minkowski's $?(x)$ function”, J. Number Theory, 73:2 (1998), 212–227
- J. Paradis, P. Viader, L. Bibiloni, “The derivative of Minkowski's $?(x)$ function”, J. Math. Anal. Appl., 253:1 (2001), 107–125
- А. А. Душистова, Н. Г. Мощевитин, “О производной функции Минковского $?(x)$”, Фундамент. и прикл. матем., 16:6 (2010), 33–44
- A. A. Dushistova, I. D. Kan, N. G. Moshchevitin, “Differentiability of the Minkowski question mark function”, J. Math. Anal. Appl., 401:2 (2013), 774–794
- И. Д. Кан, “Дифференцируемость $?(x)$-функции Минковского. II”, Изв. РАН. Сер. матем., 83:5 (2019), 53–87
- И. Д. Кан, “Дифференцируемость $?(x)$-функции Минковского. III”, Матем. сб., 210:8 (2019), 87–119
- Д. Р. Гайфулин, И. Д. Кан, “Производная функции Минковского”, Изв. РАН. Сер. матем., 85:4 (2021), 5–52
- Р. Л. Грэхем, Д. Э. Кнут, О. Паташник, Конкретная математика. Основание информатики, Мир, М., 1998, 703 с.
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