Sharpening hölder’s and popoviciu’s inequalities via functionals

S. Abramovich, J. Pečarić, S. Varošanec

Research output: Contribution to journalArticlepeer-review


We prove some inequalities involving positive isotonic linear functionals which generalize Hölder’s inequality and its reverse version. We also sharpen Jensen’s inequalities for positive isotonic linear functionals.

Original languageEnglish
Pages (from-to)793-810
Number of pages18
JournalRocky Mountain Journal of Mathematics
Issue number3
StatePublished - 2004


  • Concave function
  • Convex function
  • Hölder’s inequality
  • Jensen’s inequality
  • Popoviciu’s inequality
  • Positive isotonic linear functional

ASJC Scopus subject areas

  • General Mathematics


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