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학술저널

POWER INEQUALITY ON THE SIMPLEX

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The power inequality Nk=1 xxk k ¸ QNk=1 pxk 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.

1. Introduction

2. Preliminaries

3. Main results

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