Publication Date:
2018-09-05
Description:
Symmetry, Vol. 10, Pages 380: The Weighted Arithmetic Mean–Geometric Mean Inequality is Equivalent to the Hölder Inequality Symmetry doi: 10.3390/sym10090380 Authors: Yongtao Li Xian-Ming Gu Jianxing Zhao 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–GM inequality, the weighted power-mean inequality and the Hölder inequality are fully achieved. The new results are more generalized than those of previous studies.
Electronic ISSN:
2073-8994
Topics:
Mathematics
,
Physics
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