Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming.

因此，对凸函数和广义凸函数的研究是数学规划中最重要的内容之一。

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Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory.

函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用。

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