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\[ \frac{f(x_{1})+f(x_{2})+f(x_{3})+f(x_{4})}{4}\ge\frac{f\left(\frac{x_{1}+x_{2}}{2}\right)+f\left(\frac{x_{3}+x_{4}}{2}\right)}{2}\ge f\left(\frac{x_{1}+x_{2}+x_{3}+x_{4}}{4}\right) \]

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