A characterization of convex function

Xin Min Yang, Kok Lay Teo, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)

Abstract

If C ⊆ ℛScript n sign be a nonempty convex set, then f : C → ℛ is convex function if and only if it is a quasiconvex function on C and there exists some α ∈ (0, 1) such that f(αx + (1 - α)y) ≤ αf(x) + (1 - α)f(y), ∀ x, y ∈ C.
Original languageEnglish
Pages (from-to)27-30
Number of pages4
JournalApplied Mathematics Letters
Volume13
Issue number1
DOIs
Publication statusPublished - 11 Oct 1999

Keywords

  • Characterization
  • Convex function
  • Convex set
  • Intermediate-point convexity
  • Quasiconvex function

ASJC Scopus subject areas

  • Applied Mathematics

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