Thanin SitthiwiratthamIfra Bashir SialMuhammad Aamir AliHŸseyin BudakJiraporn Reunsumrit2025-03-102025-03-102023Filomat354518010.2298/FIL2317553S2-s2.0-85150893907https://repository.dusit.ac.th//handle/123456789/4548In this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions. Finally, we give some applications of newly established inequalities to make them more interesting for the readers. © 2023, University of Nis. All rights reserved.All Open Access; Gold Open AccessConvex interval-valued functionsHermiteÐHadamard inequalityJensen-inequalityArticleScopus