On the Smoothness Properties of General Relative Multifractal Functions

We will undertake a detailed analysis of the set-theoretical complexity of general relative multifractal measures, together with the corresponding dimension functions. This investigation clarifies the set-theoretic complexity of these objects and provides a rigorous foundation for studying their behaviour in a broad multifractal framework.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2026-08-17
DOI
https://doi.org/10.15672/hujms.1842056
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

On the Smoothness Properties of General Relative Multifractal Functions

Haythem Zyoudi
Hacettepe Journal of Mathematics and Statistics
Mathematical Dynamics and Fractals
article

On the Smoothness Properties of General Relative Multifractal Functions

Haythem Zyoudi
article en

Abstract

We will undertake a detailed analysis of the set-theoretical complexity of general relative multifractal measures, together with the corresponding dimension functions. This investigation clarifies the set-theoretic complexity of these objects and provides a rigorous foundation for studying their behaviour in a broad multifractal framework.

Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication)
University of Monastir (TN)
Reduced inequalities
Openalex Percentile: Top 5%
Mathematical Dynamics and Fractals
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On the Smoothness Properties of General Relative Multifractal Functions — Haythem Zyoudi · Hacettepe Journal of Mathematics and Statistics (2026) | TGRS Research Map | TGRS