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Research Article | Open | Published:

New Inequalities on Fractal Analysis and Their Applications

Abstract

Two new fractal measures and are constructed from Minkowski contents and. The properties of these two new measures are studied. We show that the fractal dimensions Dim and can be derived from and, respectively. Moreover, some inequalities about the dimension of product sets and product measures are obtained.

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Correspondence to Der-Chen Chang.

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Keywords

  • Fractal Dimension
  • Fractal Analysis
  • Product Measure
  • Fractal Measure
  • Minkowski Content