On a certain stability of the Hermite-Hadamard inequality

Attila Házy, Z. Páles

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The classical Hermite-Hadamard inequality, under some regularity assumptions, characterizes convexity of real functions. The aim of this paper is to establish connections between the stability forms of the functional inequalities related to Jensen convexity, convexity and the Hermite-Hadamard inequality.

Original languageEnglish
Pages (from-to)571-583
Number of pages13
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume465
Issue number2102
DOIs
Publication statusPublished - Feb 8 2009

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Hermite-Hadamard Inequality
convexity
Convexity
Functional Inequalities
regularity
Regularity

Keywords

  • Approximate convexity
  • Convexity
  • Hermite-hadamard inequality

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

On a certain stability of the Hermite-Hadamard inequality. / Házy, Attila; Páles, Z.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 465, No. 2102, 08.02.2009, p. 571-583.

Research output: Contribution to journalArticle

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