On t-convex functions

Kazimierz Nikodem, Z. 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

Fingerprint

Convex function
Convexity
Generalized Derivatives
Second-order Derivatives
Open Problems

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

Cite this

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

On t-convex functions. / Nikodem, Kazimierz; Páles, Z.

In: Real Analysis Exchange, Vol. 29, No. 1, 01.01.2004, p. 219-228.

Research output: Contribution to journalArticle

Nikodem, K & Páles, Z 2004, 'On t-convex functions', Real Analysis Exchange, vol. 29, no. 1, pp. 219-228.
Nikodem K, Páles Z. On t-convex functions. Real Analysis Exchange. 2004 Jan 1;29(1):219-228.
Nikodem, Kazimierz ; Páles, Z. / On t-convex functions. In: Real Analysis Exchange. 2004 ; Vol. 29, No. 1. pp. 219-228.
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