The right Riemann–Liouville fractional Hermite–Hadamard type inequalities derived from Green’s function
The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using these identities, we obtain loads of new results for...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2020-04-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5143908 |
| Summary: | The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using these identities, we obtain loads of new results for functions whose second derivative is convex, monotone, and concave in absolute value. We anticipate that the method outlined in this article will stimulate further investigation in this direction. |
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| ISSN: | 2158-3226 |