Geodesic
On the weighted generalization of Hermite-Hadamard type inclusions for interval-valued convex functions
Filomat, Tome 36 (2022) no. 14, p. 4779

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DOI

In this paper, firstly we give weighted Jensen inequality for interval valued functions.Then, by using Jensen inequality, we establish weighted Hermite-Hadamard type inclusions for interval-valued functions. Moreover, we obtain some inclusions of weighted Hermite-Hadamard type for coordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.
DOI : 10.2298/FIL2214779B
Classification : 26D07, 26B15, 26B25, 26D10, 26D15
Keywords: Hermite-Hadamard’s inclusion, Jensen inequality, interval-valued functions, weighted functions 
Hüsein Budak; Hasan Kara. On the weighted generalization of Hermite-Hadamard type inclusions for interval-valued convex functions. Filomat, Tome 36 (2022) no. 14, p. 4779 . doi: 10.2298/FIL2214779B
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     title = {On the weighted generalization of {Hermite-Hadamard} type inclusions for interval-valued convex functions},
     journal = {Filomat},
     pages = {4779 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214779B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214779B/}
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