Abstract
In this paper, improvements for superquadratic functions of Jensen– Steffensen’s and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen–Steffensen’s inequality for convex functions. For superquadratic functions which are convex(including many useful functions), we get improvements and extensions of Jensen–Steffensen’s inequality and related inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 159-169 |
| Number of pages | 11 |
| Journal | Banach Journal of Mathematical Analysis |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Convex function
- Jensen–Steffensen inequality
- Superquadratic function
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory