Note on the Hölder norm estimate of the function xsin(1/x)

2014/07/25 by Jiaqiang Mei, Haifeng Xu, Mei, Jiaqiang +1
Mathematics · #26D20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26D20

paper · pdf · doi:10.48550/arxiv.1407.6871

15 pages

arxiv created 2014/07/25 · arxiv updated 2014/07/28

Abstract

In this paper, we prove the following inequality: for any x, y>0, there holds |xsin(1)/(x) - ysin(1)/(y) | ≤ √(2|x - y|).

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