On convex functions of higher order

Attila Gilányi, Z. Páles

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Based on J. L. W. V. Jensen's concept of convex functions as well on its generalization by E. M. Wright and related to T. Popoviciu's convexity notions, higher-order convexity properties of real functions are introduced and surveyed.

Original languageEnglish
Pages (from-to)271-282
Number of pages12
JournalMathematical Inequalities and Applications
Volume11
Issue number2
Publication statusPublished - Apr 2008

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Convex function
Convexity
Higher Order
Generalization
Concepts

Keywords

  • Convexity of higher order
  • Jensen-convexity
  • Wright-convexity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On convex functions of higher order. / Gilányi, Attila; Páles, Z.

In: Mathematical Inequalities and Applications, Vol. 11, No. 2, 04.2008, p. 271-282.

Research output: Contribution to journalArticle

Gilányi, Attila ; Páles, Z. / On convex functions of higher order. In: Mathematical Inequalities and Applications. 2008 ; Vol. 11, No. 2. pp. 271-282.
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