The study of convex functions of one real variable offers an excellent glimpse of the beauty and fascination of advanced mathematics. The reader will find here a large variety of results based on simple and intuitive arguments that have remarkable applications. At the same time, they provide the starting point of deep generalizations that will be discussed in the next chapters.

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Convex Functions at a First Glance

  • Constantin P. Niculescu,
  • Lars-Erik Persson

摘要

The study of convex functions of one real variable offers an excellent glimpse of the beauty and fascination of advanced mathematics. The reader will find here a large variety of results based on simple and intuitive arguments that have remarkable applications. At the same time, they provide the starting point of deep generalizations that will be discussed in the next chapters.