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Part of the book series: Applied Optimization ((APOP,volume 9))

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Abstract

This chapter reviews and introduces some concepts which are important throughout this book. It starts in Section 2.1 by introducing some notational conventions. The chapter proceeds by discussing some elementary properties of convex sets in Section 2.2 and of convex functions in Section 2.3. Finally it ends with Section 2.4 where some concepts introduced in the previous sections are generalized.

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© 1998 Kluwer Academic Publishers

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dos Santos Gromicho, J.A. (1998). Elements of Convexity. In: Quasiconvex Optimization and Location Theory. Applied Optimization, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3326-5_2

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  • DOI: https://doi.org/10.1007/978-1-4613-3326-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3328-9

  • Online ISBN: 978-1-4613-3326-5

  • eBook Packages: Springer Book Archive

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