Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued Functions

Authors : Eze NWAEZE

Pages : 260-273

Doi:10.33205/cma.793456

View : 13 | Download : 9

Publication Date : 2021-09-16

Article Type : Research Paper

Abstract :We introduce the notion of $m$-polynomial harmonically convex interval-valued function. A relationship between a given interval-valued function and its component real-valued functions is pointed out. Moreover, some new Hermite--Hadamard type results are established for this class of functions. Our results complement and extend existing results in the literature. By taking $m\geq 2$, we derive loads of new and interesting inclusions. We anticipate that the idea outlined herein will trigger further investigations in this direction.
Keywords : Hermite Hadamard, m polynomial harmonically convex, interval valued function