The Hermite-Hadamard inequality and its generalization, the Fej´er inequality, have many applications. A simple application is to approximate the definite integral b a f(x)dxif the function fis convex. In this short note, we show how to relax the convexity property of the functionf, and thus we obtain inequalities that involve a larger class of functions. This new study also raises some open questions...
Link: http://repository.vnu.edu.vn/handle/VNU_123/32997
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