Some new scales of refined jensen and hardy type inequalities

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

Research output: Contribution to journalArticlepeer-review


Some scales of refined Jensen and Hardy type inequalities are derived and discussed. The key object in our technique is ? -quasiconvex functions K(x) defined by K(x)x-? =? (x) , where Φ is convex on [0,b) , 0 < b > ∞ and γ > 0.

Original languageEnglish
Pages (from-to)1105-1114
Number of pages10
JournalMathematical Inequalities and Applications
Issue number3
StatePublished - Jul 2014


  • Convex functions
  • Inequalities
  • Refined Hardy type inequalities
  • Refined Jensen type inequalities
  • γ -quasiconvex functions

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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