POWER INEQUALITY ON THE SIMPLEX

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Published: May 15, 2012
DOI: https://doi.org/10.14403/jcms.2012.25.2.313
Keywords:
simplex, strong law of large numbers, density theorem, Hausdorff dimension
Mathematics Subject Classification (2020):
Primary 28A78

Main Article Content

In-Soo Baek
Department of Mathematics, Busan University of Foreign Studies

Abstract





The power inequality k holds for the points (x1, ..., xN ),(p1, ..., pN ) of the simplex. We show this using the analytic method combining Frostman's density theorem with the strong law of large numbers.





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Article Details

Issue
Vol. 25 No. 2 (2012)
Section
Articles