In this paper, we proved that the weigthed AM-GM inequality is equivalent to the Bernoulli inequality, which generalized a result of Lech Maligranda, and the method of proving is different completely from that Lech Maligranda used.
Short Report
The Weighted AM-GM Inequality Is Equivalent To The Bernoulli Inequality
https://doi.org/10.21203/rs.3.rs-1982011/v1
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In this paper, we proved that the weigthed AM-GM inequality is equivalent to the Bernoulli inequality, which generalized a result of Lech Maligranda, and the method of proving is different completely from that Lech Maligranda used.
weighted AM-GM inequality
Bernoulli inequality
Young inequality
No competing interests reported.
posted
You are reading this latest preprint version