On a class of non-integer dimensional continuous functions with one unbounded variation point

2024/02/04 by Pei-Zhi Liu, Liu, Pei-Zhi, Yongshun Liang +3
Mathematics · #advanced mathematical theories #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2402.03382

Abstract

This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their Hölder condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two.

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