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Stolarsky's Inequality

If 0<=g(x)<=1 and g is nonincreasing on the interval [0, 1], then for all possible values of a and b,

int_0^1g(x^(1/(a+b)))dx>=int_0^1g(x^(1/a))dxint_0^1g(x^(1/b))dx.

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Cite this as:

Weisstein, Eric W. "Stolarsky's Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StolarskysInequality.html

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