Name: r-convex functions
Creator: Avriel, Mordecai
Keywords: Convex programming, 0211 other engineering and technologies, Convex sets without dimension restrictions (aspects of convex geometry), 02 engineering and technology, 0101 mathematics, 01 natural sciences

\(r\)-convex functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1972 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 2, pages 309-323 (issn: 0025-5610, eissn: 1436-4646,

Authors: Avriel, Mordecai;

doi: 10.1007/bf01584551

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.

Related Organizations

Université Catholique de Louvain
Belgium
Technion – Israel Institute of Technology
Israel

Keywords

Convex programming, Convex sets without dimension restrictions (aspects of convex geometry)

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