Hausdorff–Besicovitch dimension of the graph of one continuous nowhere-differentiable function-Reference-Cited by-同舟云学术

Hausdorff–Besicovitch dimension of the graph of one continuous nowhere-differentiable function

Published:2009-09 Issue:9 Volume:61 Page:1448-1466
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Panasenko O. B.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-010-0288-8.pdf

Reference10 articles.

1. N. V. Pratsevityi, “Continuous Cantor projectors,” in: Methods for Investigation of Algebraic and Topological Structures [in Russian], KGPI, Kiev (1989), pp. 78–90.

2. A. F. Turbin and N. V. Pratsevityi, Fractal Sets, Functions, and Distributions [in Russian], Naukova Dumka, Kiev (1992).

3. M. V. Prats’ovytyi, “Fractal properties of a continuous nowhere-differentiable function,” Nauk. Zap. Nats. Ped. Univ. im. Drahomanova, Ser. Fiz.-Mat. Nauk., No. 3, 327–338 (2002).

4. V. Koval’, “Self-affine graphs of functions,” Nauk. Chas. Nats. Ped. Univ. im. Drahomanova, Ser. Fiz.-Mat. Nauk, No. 4, 292–299 (2004).

5. K. J. Falconer, Fractal Geometry. Mathematical Foundations and Applications, Wiley, Chichester (2003).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. One class of continuous functionswith complicated local properties related\newline to Engel series;Functiones et Approximatio Commentarii Mathematici;2022-01-01

2. Fractal and Hausdorff dimensions for systems of iterative functional equations;Journal of Mathematical Analysis and Applications;2019-12