Identric mean

The identric mean of two positive real numbers x, y is defined as: The identric mean of two positive real numbers x, y is defined as: It can be derived from the mean value theorem by considering the secant of the graph of the function x ↦ x ⋅ ln ⁡ x {displaystyle xmapsto xcdot ln x} . 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. Weisstein, Eric W. 'Identric Mean'. MathWorld.