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A Note on Scaling Properties of Hewitt Stromberg Measure
Journal article   Open access  Peer reviewed

A Note on Scaling Properties of Hewitt Stromberg Measure

Najmeddine Attia and Omrane Guizani
Filomat, Vol.36(10), pp.3551-3559
01/01/2022
DOI: https://doi.org/10.2298/FIL2210551A

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this note, we investigate those Hewitt Stromberg measures which obey to a simple scaling law. Consider a dimension function h and let Hh be the corresponding Hewitt Stromberg measure. We say that Hh obeys an order alpha scaling law whenever taking A c Rm and c > 0, one has Hh(cA) = c alpha Hh(A).
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https://doi.org/10.2298/FIL2210551AView
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