Year: 2025
Type: article
Abstract: 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.
Source: Symmetry
DOI: 10.3390/sym17040601
Author: Zdzisław Otachel
Institution: University of Life Sciences in Lublin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4409510462