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- Ky_Fan_inequality abstract "In mathematics, there are two different results that share the common name of the Ky Fan inequality. One is an inequality involving the geometric mean and arithmetic mean of two sets of real numbers of the unit interval. The result was published on page 5 of the book Inequalities by Beckenbach and Bellman (1961), who refer to an unpublished result of Ky Fan. They mention the result in connection with the inequality of arithmetic and geometric means and Augustin Louis Cauchy's proof of this inequality by forward-backward-induction; a method which can also be used to prove the Ky Fan inequality.The Ky Fan inequality is a special case of Levinson's inequality and also the starting point for several generalizations and refinements, some of them are given in the references below.".
- Ky_Fan_inequality wikiPageExternalLink 1108.1467.
- Ky_Fan_inequality wikiPageExternalLink loader?did=D171447.
- Ky_Fan_inequality wikiPageExternalLink 721-5068-NeSa.pdf.
- Ky_Fan_inequality wikiPageExternalLink mia-02-43.pdf.
- Ky_Fan_inequality wikiPageExternalLink mia-05-06.pdf.
- Ky_Fan_inequality wikiPageID "2143560".
- Ky_Fan_inequality wikiPageRevisionID "606537777".
- Ky_Fan_inequality hasPhotoCollection Ky_Fan_inequality.
- Ky_Fan_inequality id "15631".
- Ky_Fan_inequality name "Ky Fan".
- Ky_Fan_inequality subject Category:Articles_containing_proofs.
- Ky_Fan_inequality subject Category:Inequalities.
- Ky_Fan_inequality type Abstraction100002137.
- Ky_Fan_inequality type Attribute100024264.
- Ky_Fan_inequality type Difference104748836.
- Ky_Fan_inequality type Inequalities.
- Ky_Fan_inequality type Inequality104752221.
- Ky_Fan_inequality type Quality104723816.
- Ky_Fan_inequality comment "In mathematics, there are two different results that share the common name of the Ky Fan inequality. One is an inequality involving the geometric mean and arithmetic mean of two sets of real numbers of the unit interval. The result was published on page 5 of the book Inequalities by Beckenbach and Bellman (1961), who refer to an unpublished result of Ky Fan.".
- Ky_Fan_inequality label "Ky Fan inequality".
- Ky_Fan_inequality label "Ky-Fan-Ungleichung".
- Ky_Fan_inequality label "樊(⼟畿)不等式".
- Ky_Fan_inequality sameAs Ky-Fan-Ungleichung.
- Ky_Fan_inequality sameAs m.06pz9n.
- Ky_Fan_inequality sameAs Q366730.
- Ky_Fan_inequality sameAs Q366730.
- Ky_Fan_inequality sameAs Ky_Fan_inequality.
- Ky_Fan_inequality wasDerivedFrom Ky_Fan_inequality?oldid=606537777.
- Ky_Fan_inequality isPrimaryTopicOf Ky_Fan_inequality.