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r-convex functions

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Abstract

A family of real functions, calledr-convex functions, which represents a generalization of the notion of convexity is introduced. This family properly includes the family of convex functions and is included in the family of quasiconvex functions. Some properties ofr-convex functions are derived and relations with other generalizations of convex functions are discussed.

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Authors and Affiliations

  1. Technion - Israel Institute of Technology, Haifa, Israel

    Mordecai Avriel

  2. CORE, Catholic University of Louvain, Belgium

    Mordecai Avriel

Authors
  1. Mordecai Avriel
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Additional information

Research for this paper was supported in part by the Gerard Swope Fund at the Technion.

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Avriel, M. r-convex functions. Mathematical Programming 2, 309–323 (1972). https://doi.org/10.1007/BF01584551

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  • DOI: https://doi.org/10.1007/BF01584551

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