A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions

Thanin Sitthiwirattham, Ifra Bashir Sial, Muhammad Aamir Ali, Huseyin Budak, Jiraporn Reunsumrit

In 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.