词条 | Identric mean |
释义 |
The identric mean of two positive real numbers x, y 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
References1. ^{{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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