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

Year 2021, Volume: 4 Issue: 3, 260 - 273, 16.09.2021

Eze Nwaeze

https://doi.org/10.33205/cma.793456

Cited By: 1

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

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