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A ONE-DIMENSIONAL CONTINUOUS FUNCTION WITH UNBOUNDED VARIATION.
- Source :
-
Fractals . 2024, Vol. 32 Issue 2, p1-6. 6p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider a function with only one unbounded variation point and study the box dimension of its graph. We prove that the function is continuous and differentiable on a certain interval. Moreover, we show that the function is of unbounded variation on the domain of definition. Using our techniques, we also estimate the box dimension of the graph of the function. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONTINUOUS functions
*DEFINITIONS
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 176387578
- Full Text :
- https://doi.org/10.1142/S0218348X24400073