On γ-quasiconvexity, superquadracity and two-sided reversed jensen type inequalities

S. Abramovich, L. E. Persson, N. Samko

Research output: Contribution to journalArticlepeer-review


In this paper we deal with γ-quasiconvex functions when -1≤γ ≤ 0, to derive some two-sided Jensen type inequalities. We also discuss some Jensen-Steffensen type inequalities for 1-quasiconvex functions. We compare Jensen type inequalities for 1-quasiconvex functions with Jensen type inequalities for superquadratic functions and we extend the result obtained for γ -quasiconvex functions to more general classes of functions.

Original languageEnglish
Pages (from-to)615-627
Number of pages13
JournalMathematical Inequalities and Applications
Issue number2
StatePublished - 1 Apr 2015


  • Convex functions
  • Refined Jensen type inequalities
  • Superquadratic functions
  • γ-quasiconvex functions

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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