- Constructive Mathematical Analysis
- Vol: 4 Issue: 3
- Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued F...
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 : 14 | Download : 10
Publication Date : 2021-09-16
Article Type : Research
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