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词条 Identric mean
释义

  1. See also

  2. References

{{Refimprove|date=January 2010}}

The identric mean of two positive real numbers xy is defined as:[1]

It can be derived from the mean value theorem by considering the secant of the graph of the function . It can be generalized to more variables according by the mean value theorem for divided differences. The identric mean is a special case of the Stolarsky mean.

See also

  • Mean
  • Logarithmic mean

References

1. ^{{cite journal|last=RICHARDS|first=KENDALL C|author2=HILARI C. TIEDEMAN|title=A NOTE ON WEIGHTED IDENTRIC AND LOGARITHMIC MEANS|journal=Journal of Inequalities in Pure and Applied Mathematics|year=2006|volume=7|issue=5|url=http://www.kurims.kyoto-u.ac.jp/EMIS/journals/JIPAM/images/202_06_JIPAM/202_06_www.pdf|accessdate=20 September 2013}}
{{MathWorld|title=Identric Mean|urlname=IdentricMean}}{{DEFAULTSORT:Identric Mean}}

1 : Means

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