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A ONE-DIMENSIONAL CONTINUOUS FUNCTION WITH UNBOUNDED VARIATION
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DOI：10.1142/S0218348X24400073.png)
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Abstract
En 中文
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.
Keywords:
Fractal Function
Unbounded Variation
Box Dimension
Journal
F
IF:
2.9
Papers:
2.8K
Citations:
5.6K
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