论文标题

不平等概括$ am \ geq gm $和$ am \ geq hm $

An inequality generalizing $AM \geq GM$ and $AM \geq HM$

论文作者

Mukherjee, Himadri

论文摘要

Aim of this article is to prove the inequality $n \sum_{i=1}^{n} a_ib_i \leq \sum_{i=1}^{n} a_i \sum_{i=1}^n b_i$ when $a_i$ are $n$ increasing positive real numbers and $b_i$ are $n$ decreasing real numbers.我们还证明了这一结果的概括。

Aim of this article is to prove the inequality $n \sum_{i=1}^{n} a_ib_i \leq \sum_{i=1}^{n} a_i \sum_{i=1}^n b_i$ when $a_i$ are $n$ increasing positive real numbers and $b_i$ are $n$ decreasing real numbers. We also prove generalizations of this result.

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