More on Cauchy's means and generalization of Hadamard inequality via converses of Jensen's inequality and superquadracity

S. Abramovich, G. Farid, S. Ivelić, J. Pečarić

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we present results involving positive linear functionals which generalize results that refine the Hadamard inequality. We also present refinements of results proved for Jensen's inequality and introduce new means of Cauchy's type using converses of Jensen's inequality for superquadratic functions.

Original languageEnglish
Pages (from-to)97-116
Number of pages20
JournalInternational Journal of Pure and Applied Mathematics
Volume69
Issue number1
StatePublished - 2011

Keywords

  • Cauchy means
  • Convex functions
  • Hermite-Hadamard inequalities
  • Monotonicity
  • Superquadratic functions

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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