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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | September 16, 2021 |
Published in Issue | Year 2021 |