Let 
be a nonnegative and monotonic decreasing function
in ![[a,b]](/images/equations/SteffensensInequality/Inline2.svg)
and 
such that 
in ![[a,b]](/images/equations/SteffensensInequality/Inline5.svg)
,
then
 |
where
 |
Steffensen's Inequality
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References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1099, 2000.Referenced on Wolfram|Alpha
Steffensen's InequalityCite this as:
Weisstein, Eric W. "Steffensen's Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SteffensensInequality.html