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Note on the H\'{o}lder norm estimate of the function $x\sin(1/x)$
- Publication Year :
- 2014
-
Abstract
- In this paper, we prove the following inequality: for any $x, y>0$, there holds $$\big|x\sin\frac{1}{x} - y\sin\frac{1}{y} \big| \leq \sqrt{2|x - y|}.$$<br />Comment: 15 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
26D20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1407.6871
- Document Type :
- Working Paper