logarithmic mean

The logarithmic mean can also be interpreted as the area under an exponential curve.

The logarithmic mean is a special case of the Stolarsky mean.

The area interpretation allows the easy derivation of some basic properties of the logarithmic mean.

Oilfield Glossary: Term 'logarithmic mean'

In mathematics, the logarithmic mean is a function of two non-negative numbers which is equal to their difference divided by the logarithm of their quotient.

Stolarsky, Kenneth B.: Generalizations of the logarithmic mean, Mathematics Magazine, Vol.

Included among those means are some well-known ones such as the arithmetic mean, the geometric mean, the harmonic mean, the power means, the logarithmic mean, the identric mean, and the Stolarsky mean.

The logarithmic mean of two numbers is smaller than the arithmetic mean but larger than the geometric mean (unless the numbers are the same, in which case all three means are equal to the numbers):