Ostrowski type inequalities and applications in numerical integration for interval-valued functions

On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

“…have been studied for the interval-valued functions in recent years. In [3,4], Chalco-Cano et al obtained Ostrowski type inequalities for interval-valued functions by using Hukuhara derivative for interval-valued functions. In [18], Román-Flores et al established Minkowski and Beckenbach's inequalities for intervalvalued functions.…”

New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions

“…Recently, several classical integral inequalities have been extended not only to the context of interval-valued functions by Chalco-Cano et al [5,6], Román-Flores et al [40,41], Flores-Franulič et al [19], Costa and Román-Flores [12], but also to more general setvalued maps by Matkowski and Nikodem [24], Mitroi et al [27], and Nikodem et al [30]. In particular, Costa [9] presented a new fuzzy version of Jensen inequalities type integral for fuzzy-interval-valued functions.…”

Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions

“…Among the many types of inequalities, those carrying the names of Jensen, Hermite-Hadamard, Hardy, Ostrowski, Minkowski and Opial et al have a deep significance and have made a great impact in substantial fields of research. Recently, some of these inequalities have been extended to interval-valued functions by Chalco-Cano et al; see, e.g., [10][11][12][13][14][15][16]. Surprisingly enough, interval Hermite-Hadamard type inequalities has perhaps not received enough attention [17].…”