Geodesic
On the derivative of two functions from Denjoy--Tichy--Uitz family
Algebra i analiz, Tome 27 (2015) no. 1, pp. 74-124.

Voir la notice de l'article provenant de la source Math-Net.Ru

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D. R. Gayfulin. On the derivative of two functions from Denjoy--Tichy--Uitz family. Algebra i analiz, Tome 27 (2015) no. 1, pp. 74-124. http://geodesic.mathdoc.fr/item/AA_2015_27_1_a3/

[1] Minkowski H., Verhandlungen des III Internationalen Mathematiker-Kongresses in Heidelberg, Berlin, 1904, 164–173

[2] Salem R., “On some singular monotone functions which are strictly increasing”, Trans. Amer. Math. Soc., 53 (1943), 427–439 | DOI | MR | Zbl

[3] Dushistova A. A., Kan I. D., Moshchevitin N. G., “Differentiability of the Minkowski question mark function”, J. Math. Anal. Appl., 401:2 (2013), 774–794 | DOI | MR | Zbl

[4] Golubeva E. P., “O ploskoi vypukloi krivoi s bolshim chislom tselykh tochek”, Zap. nauch. semin. POMI, 357, 2008, 22–32 | MR | Zbl

[5] Denjoy A., “Sur une fonction rélle de Minkowski”, J. Math. Pures Appl., 17 (1938), 105–151 | Zbl

[6] Tichy R. F., Uitz J., “An extension of Minkowski's singular function”, Appl. Math. Lett., 8:5 (1995), 39–46 | DOI | MR | Zbl

[7] Zhabitskaya E. N., “On arithmetical nature of Tichy–Uitz's function”, Funct. Approx. Comment. Math., 43:1 (2010), 15–22 | DOI | MR | Zbl

[8] Paradis J., Viader P., Bibiloni L., “The derivative of Minkowski's $?(x)$ function”, J. Math. Anal. Appl., 253:1 (2001), 107–125 | DOI | MR | Zbl

[9] Dushistova A. A., Moschevitin N. G., “O proizvodnoi funktsii Minkovskogo $(x)$”, Fundam. i prikl. mat., 16:6 (2010), 33–44 | MR

[10] Moshchevitin N. G., On some open problems in Diophantine approximation, Preprint, 2012, arXiv: 1202.4539v5

[11] Graham R. L., Knuth D. E., Patashnik O., Concrete mathematics. A foundation for computer science, Addison-Wesley, Reading, MA, 1994 | MR | Zbl

[12] Khinchin A. Ya., Tsepnye drobi, Editorial URSS, M., 2004

[13] Motzkin T. S., Straus E. G., “Some combinatorial extremum problems”, Proc. Amer. Math. Soc., 7 (1956), 1014–1021 | DOI | MR

[14] Kan I. D., “Utochnenie pravila sravneniya kontinuantov”, Diskret. mat., 12:3 (2000), 72–75 | DOI | MR | Zbl

[15] Kan I. D., “Metody polucheniya otsenok kontinuantov”, Fundam. i prikl. mat., 16:6 (2010), 95–108 | MR