We estimate the upper and lower bounds of the Hewitt–Stromberg dimensions. In particular,
these results give new proofs of theorems on the multifractal formalism which is based on …

In this study, we will introduce an innovative and comprehensive multifractal framework,
substantiating counterparts to the classical findings in multifractal analysis and We embark …

The main aim of this paper is to present a comprehensive exploration of general multifractal
dimensions of Borel probability measures, with a specific emphasis on the diverse …

Let ν be a Borel probability measure on ℝ d and q, t∈ ℝ. This study takes a broad approach
to the multifractal and fractal analysis problem and proposes an intrinsic definition of the …

The objective of this research is to establish a representation of the general Hausdorff and
packing dimensions of compact sets in Euclidean space. This representation is formulated in …

Consider a probability space (Z, ℱ, τ). This paper primarily investigates a general multifractal
formalism within the probability space (Z, ℱ, τ). Our first objective is to introduce a multifractal …

Within this study, we analyse green cryptocurrencies versus sustainable investments
dynamics by calculating a multifractal multiscale analysis (MMA) with Hurst surfaces paired …

Consider (Y, ρ) as a complete metric space and S as the space of probability Borel
measures on Y. Let dim‾ B Ψ, Φ (E) be the general upper box dimension of the set E⊂ Y …

Sets of infinite multifractal measures are awkward to work with, and reducing them to sets of
positive finite multifractal measures is a very useful simplification. The aim of this paper is to …

In this paper, the equivalence of the multifractal centered Hausdorff measure and the
multifractal packing measure is investigated. Furthermore, for the Moran sets satisfying the …