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Convex (and concave) functions have many special and important properties. For instance, any local minimum of a convex function over a convex set is also a global minimum. This chapter is devoted to introduce the notion of convex (and concave) function and develop some of their most important properties.

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Convex Functions

  • 章节

  • 发表日期：

    2026年

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  • Andrea Carpignani,
  • Massimo Pappalardo

摘要

Convex (and concave) functions have many special and important properties. For instance, any local minimum of a convex function over a convex set is also a global minimum. This chapter is devoted to introduce the notion of convex (and concave) function and develop some of their most important properties.