Stolarsky mean

In mathematics, the Stolarsky mean is a generalization of the logarithmic mean. It was introduced by Kenneth B. Stolarsky in 1975. In mathematics, the Stolarsky mean is a generalization of the logarithmic mean. It was introduced by Kenneth B. Stolarsky in 1975. For two positive real numbers x, y the Stolarsky Mean is defined as: It is derived from the mean value theorem, which states that a secant line, cutting the graph of a differentiable function f {displaystyle f} at ( x , f ( x ) ) {displaystyle (x,f(x))} and ( y , f ( y ) ) {displaystyle (y,f(y))} , has the same slope as a line tangent to the graph at some point ξ {displaystyle xi } in the interval [ x , y ] {displaystyle } .