On Dinghas-type derivatives and convex functions of higher order

Attila Gilányi, Z. Páles

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper higher-order convexity properties of real functions are characterized in terms of a Dinghas-type derivative. The main tool used is a mean value inequality for Dinghas-type derivatives.

Original languageEnglish
Pages (from-to)485-494
Number of pages10
JournalReal Analysis Exchange
Volume27
Issue number2
Publication statusPublished - Jan 1 2002

Fingerprint

Convex function
Higher Order
Derivative
Mean Value
Convexity

Keywords

  • Generalized derivative
  • Jensen-convexity of higher order
  • Localizable convexity properties
  • T- Jensen-convexity
  • T-Wright-convexity
  • Wright-convexity of higher order

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

Cite this

On Dinghas-type derivatives and convex functions of higher order. / Gilányi, Attila; Páles, Z.

In: Real Analysis Exchange, Vol. 27, No. 2, 01.01.2002, p. 485-494.

Research output: Contribution to journalArticle

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