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.
- Convex functions
- Refined Hardy type inequalities
- Refined Jensen type inequalities
- γ -quasiconvex functions
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics