Steffensen's inequality

Steffensen's inequality is a mathematical inequality named after Johan Frederik Steffensen. Mitrinović, op. cit., p. 107–119.

It is an integral inequality in real analysis, stating: If ƒ : [a, b] → R is a non-negative, monotonically decreasing, integrable function and g : [a, b] → [0, 1] is another integrable function, then

where

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