{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:10:48Z","timestamp":1760058648425,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,4,16]],"date-time":"2025-04-16T00:00:00Z","timestamp":1744761600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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\u2013Banach theorems with sublinear and convex maps are considered and used to prove the theorem on the support of certain convex maps.<\/jats:p>","DOI":"10.3390\/sym17040601","type":"journal-article","created":{"date-parts":[[2025,4,16]],"date-time":"2025-04-16T04:05:31Z","timestamp":1744776331000},"page":"601","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Jensen\u2013Jessen Inequality for Convex Maps"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3580-9582","authenticated-orcid":false,"given":"Zdzis\u0142aw","family":"Otachel","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, G\u0142\u0229boka 28, 20-950 Lublin, Poland"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF02418571","article-title":"Sur les fonctions convexes et les in\u00e9qualit\u00e9s entre les valeurs moyennes","volume":"30","author":"Jensen","year":"1906","journal-title":"Acta Math."},{"key":"ref_2","unstructured":"Jessen, B. 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