The Weighted Arithmetic Mean–Geometric Mean Inequality is Equivalent to the Hölder Inequality

In the current note, we investigate the mathematical relations among the weighted arithmetic mean–geometric mean (AM–GM) inequality, the Hölder inequality and the weighted power-mean inequality. Meanwhile, the proofs of mathematical equivalence among the weighted AM&...

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Bibliographic Details
Main Authors: Yongtao Li, Xian-Ming Gu, Jianxing Zhao
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/9/380