On the weighted generalization of Hermite-Hadamard type inclusions for interval-valued convex functions


Hüsein Budak, Hasan Kara




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.