Some Fractional Hermite–Hadamard Type Inequalities for Interval-valued Functions
In this paper, firstly we prove the relationship between interval <i>h</i>-convex functions and interval harmonically <i>h</i>-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval <i>h</i>-convex functions via interval Riemann–Li...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-04-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/4/534 |
| Summary: | In this paper, firstly we prove the relationship between interval <i>h</i>-convex functions and interval harmonically <i>h</i>-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval <i>h</i>-convex functions via interval Riemann–Liouville type fractional integrals are established. Finally, we obtain some new fractional Hadamard–Hermite type inequalities for interval harmonically <i>h</i>-convex functions by using the above relationship. Also we discuss the importance of our results and some special cases. Our results extend and improve some previously known results. |
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| ISSN: | 2227-7390 |