On φ-convexity

Judit Makó, Zsolt Páles

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this paper, approximate convexity and approximate midconvexity properties, called φ-convexity and φ-midconvexity, of real valued function are investigated. Various characterizations of φ-convex and φ-midconvex functions are obtained. Furthermore, the relationship between φ-midconvexity and φ-convexity is established.

Original languageEnglish
Pages (from-to)107-126
Number of pages20
JournalPublicationes Mathematicae
Volume80
Issue number1-2
DOIs
Publication statusPublished - Oct 22 2012

Keywords

  • Approximate convexity
  • Jensen convexity
  • φ-convexity

ASJC Scopus subject areas

  • Mathematics(all)

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