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On a class of non-integer dimensional continuous functions with one unbounded variation point
- Publication Year :
- 2024
-
Abstract
- This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their H\"older condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two.
- Subjects :
- Mathematics - Classical Analysis and ODEs
28A80
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.03382
- Document Type :
- Working Paper