Abstract
A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.
| Original language | English |
|---|---|
| Article number | 62 |
| Journal | Journal of Inequalities in Pure and Applied Mathematics |
| Volume | 9 |
| Issue number | 3 |
| State | Published - 2008 |
Keywords
- Functional quasi-arithmetic and power means of Mercer's type
- Isotonic linear functionals
- Jessen's inequality
- Superquadratic functions
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics