Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued Functions
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 r...
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| Published in: | Constructive mathematical analysis Vol. 4; no. 3; pp. 260 - 273 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Ankara
Constructive Mathematical Analysis
16.09.2021
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| Subjects: | |
| ISSN: | 2651-2939, 2651-2939 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2651-2939 2651-2939 |
| DOI: | 10.33205/cma.793456 |