Higher-order generalizations of Hadamard's inequality

Mihály Bessenyei, Zsolt Páles

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

In this paper we derive generalizations of Hadamard's classical in-equality for higher-order convex functions. In the proof the remainder formula of the Hermite-Fejér interpolation and a smoothing technique is used.

Original languageEnglish
Pages (from-to)623-643
Number of pages21
JournalPublicationes Mathematicae
Volume61
Issue number3-4
Publication statusPublished - Jan 1 2002

Keywords

  • Hadamard's inequality

ASJC Scopus subject areas

  • Mathematics(all)

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