Jensen–Jessen Inequality for Convex Maps
In this paper, some vector inequalities for convex maps are proved. The obtained results refer to the famous Jensen inequality and generalize further classical inequalities of Jessen and McShane. In addition, the Hahn–Banach theorems with sublinear and convex maps are considered and used to prove the theorem on the support of certain convex maps.
Authors
- Zdzisław Otachel (ORCID: https://orcid.org/0000-0003-3580-9582)
Institutions
- University of Life Sciences in Lublin (PL)
Publication Details
- Journal
- Symmetry
- Published
- 2025-04-16
- DOI
- https://doi.org/10.3390/sym17040601
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00