Superquadracity of functions and rearrangements of sets

Research output: Contribution to journalArticlepeer-review


In this paper we establish upper bounds of ∑i=1 n(f(xi + xi-1/2) + f (|xi - x i-1|/2)), xn+1 = x1 when the function f is superquadratic and the set (x) = (x1,..., xn) is given except its arrangement.

Original languageEnglish
Article number46
JournalJournal of Inequalities in Pure and Applied Mathematics
Issue number2
StatePublished - 2007


  • Convex functions
  • Jensen's inequality
  • Superquadratic functions

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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