Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator
Abstract In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators. Then, by using this newly generalized fractional integral operator, we proved several new Hermite-Hadamard-type inequalities for convex fun...
| Published in: | Journal of Inequalities and Applications |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-04-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02969-3 |
| Summary: | Abstract In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral operators. Then, by using this newly generalized fractional integral operator, we proved several new Hermite-Hadamard-type inequalities for convex functions. Finally, we provided some corollaries to show that the current results extend and enrich the previous results in the literature. |
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| ISSN: | 1029-242X |