HM-GM-AM-QM inequalities (Q2312489)
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mathematical relationships
- power mean inequality
- QAGH inequality
- QAGH
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | HM-GM-AM-QM inequalities |
mathematical relationships |
|
Statements
![{\displaystyle {\dfrac {n}{\displaystyle \sum _{i=1}^{n}{\dfrac {1}{x_{i}}}}}\leq {\sqrt[{n}]{\prod _{i=1}^{n}x_{i}}}\leq {\dfrac {\displaystyle \sum _{i=1}^{n}x_{i}}{n}}\leq {\sqrt {\dfrac {\displaystyle \sum _{i=1}^{n}x_{i}^{2}}{n}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/25f9a1a37ea97d6aa3ed3d55c759e7eb5f868bcc)
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Identifiers
Sitelinks
Wikipedia(4 entries)
- cswiki Nerovnosti mezi průměry
- enwiki QM-AM-GM-HM inequalities
- nlwiki HM-GM-AM-QM
- zhwiki 平均数不等式