Abstract
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 language | English |
|---|---|
| Pages (from-to) | 1105-1114 |
| Number of pages | 10 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2014 |
Keywords
- 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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