Poorly convex functions and their application to an optimization problem

Volume 47 / 2020

Tadeusz Radzik Applicationes Mathematicae 47 (2020), 1-27 MSC: 26B25, 46N10, 52A41. DOI: 10.4064/am2389-10-2019 Published online: 31 January 2020

Abstract

The paper introduces a new class of functions, called poorly convex, defined on convex subsets of $\mathbb {R}^n$. The class is bigger than the class of classical convex functions, and is a subset of the class of quasi-convex ones. The theory of poorly convex functions is developed, and its application to an optimization problem is shown.

Authors

  • Tadeusz RadzikFaculty of Mathematics
    Wrocław University of Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail

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