On t-convex functions

Kazimierz Nikodem, Zsolt Páles

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The main results of the paper, answering an open problem raised in [3], show that t-convexity can also be characterized in terms of a lower second-order generalized derivative. As a consequence, we obtain that t-convexity is also a localizable convexity property.

Original languageEnglish
Pages (from-to)219-228
Number of pages10
JournalReal Analysis Exchange
Volume29
Issue number1
Publication statusPublished - Jan 1 2004

Keywords

  • Generalized 2nd-order derivative
  • Localizable convexity properties
  • T-Wright-convexity
  • T-convexity

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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  • Cite this

    Nikodem, K., & Páles, Z. (2004). On t-convex functions. Real Analysis Exchange, 29(1), 219-228.