Abstract
One of the many inequalities that superquadratic functions satisfy is the parallelogram inequality f (u+v)+ f (u-v) ≥ 2 f (u)+2 f (v). In this paper, we present Cauchy means for superquadratic functions and other mean value theorems. We show also positive semi-definiteness, log-convexity, exponential convexity of certain set of functions.
| Original language | English |
|---|---|
| Pages (from-to) | 11-14 |
| Number of pages | 4 |
| Journal | Journal of Mathematical Inequalities |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2013 |
Keywords
- Jensen's inequality
- Linear functional
- Log-convex function
- Mean value theorems
- Superquadracity
ASJC Scopus subject areas
- Analysis