Heronian mean
= Heronian mean
{wiki=Heronian_mean}
The Heronian mean is a mathematical mean that is defined for two positive numbers \\( a \\) and \\( b \\). It is given by the formula: \\\[ H(a, b) = \\frac\{a + b + \\sqrt\{ab\}\}\{3\} \\\] The Heronian mean can be viewed as a blend of the arithmetic mean and the geometric mean. It is particularly interesting because it shares properties with both of these means.