Abstract
The concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater-Pečarić's inequality.
Original language | English |
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Pages (from-to) | 1444-1460 |
Number of pages | 17 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 327 |
Issue number | 2 |
DOIs | |
State | Published - 15 Mar 2007 |
Keywords
- Convex functions
- Jensen's inequality
- Superquadratic functions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics