TOPICS
Search

Identric Mean


The identric mean is defined by

 I(a,b)=1/e((b^b)/(a^a))^(1/(b-a))

for a>0, b>0, and a!=b. The identric mean has been investigated intensively and many remarkable inequalities for I(a,b) have been published (Bullen et al. 1988, Alzer 1993).


This entry contributed by Ronald M. Aarts

Explore with Wolfram|Alpha

References

Alzer, H. "Some Gamma Function Inequalities." Math. Comput. 60, 337-346, 1993.Bullen, P. S.; Mitrinović, D. S.; and Vasić, P. M. Means and Their Inequalities. Dordrecht, Netherlands: Reidel, 1988.

Referenced on Wolfram|Alpha

Identric Mean

Cite this as:

Aarts, Ronald M. "Identric Mean." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IdentricMean.html

Subject classifications