Identric mean

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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[edit]


  1. ^ RICHARDS, KENDALL C; HILARI C. TIEDEMAN (2006). "A NOTE ON WEIGHTED IDENTRIC AND LOGARITHMIC MEANS" (PDF). Journal of Inequalities in Pure and Applied Mathematics. 7 (5). Retrieved 20 September 2013.

Weisstein, Eric W. "Identric Mean". MathWorld.