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Steffensen's inequality

Steffensen's inequality is an equation in mathematics named after Johan Frederik Steffensen.

It is an integral inequality in real analysis, stating:

If ƒ : [a, b] Ã¢Â†Â’ R is a non-negative, monotonically decreasing, integrable function
and g : [a, b] Ã¢Â†Â’ [0, 1] is another integrable function, then
:
where
:

References

External links