Abstract
In this paper, we construct some continuous but non-differentiable functions defined by quinary decimal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a detailed proof.
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References
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Yong, T., Guangjun, Y. Construction of some Kiesswetter-like functions —The continuous but non-different-iable function defined by quinary decimal. Anal. Theory Appl. 20, 58–68 (2004). https://doi.org/10.1007/BF02835259
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DOI: https://doi.org/10.1007/BF02835259
Key words
- Kiesswetter-like functions
- continuous but non-differentiable
- quinary decimal
- iterated function system
- inequality
- Hausdorff dimension