Integral Chebyshev Inequality
There is a second (less well known) inequality also named after Chebyshev
If f, g : → R are two monotonic functions of the same monotonicity, then
If f and g are of opposite monotonicity, then the above inequality works in the reverse way.
This inequality is related to Jensen's inequality, Kantorovich's inequality, the Hermite–Hadamard inequality and Walter's conjecture.
Read more about this topic: Chebyshev's Inequality
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