Geodesic
A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions
Filomat, Tome 37 (2023) no. 17, p. 5553

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DOI

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.
DOI : 10.2298/FIL2317553S
Classification : 26D10, 26A51, 26D15
Keywords: Hermite–Hadamard inequality, Jensen-inequality, Convex interval-valued functions 
Thanin Sitthiwirattham; Ifra Bashir Sial; Muhammad Aamir Ali; Huseyin Budak; Jiraporn Reunsumrit. A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions. Filomat, Tome 37 (2023) no. 17, p. 5553 . doi: 10.2298/FIL2317553S
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     title = {A new variant of {Jensen} inclusion and {Hermite-Hadamard} type inclusions for interval-valued functions},
     journal = {Filomat},
     pages = {5553 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317553S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317553S/}
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