Inmathematics, the Hermite–Hadamard inequality, named after Charles Hermite and Jacques Hadamard and sometimes also called Hadamard's inequality, states that if a function ƒ : [a, b] → Risconvex, then the following chain of inequalities hold:
The inequality has been generalized to higher dimensions: if is a bounded, convex domain and is a positive convex function, then
where is a constant depending only on the dimension.
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