A study of some new Hermite–Hadamard inequalities via specific convex functions with applications
Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and sign...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute (MDPI)
2024
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/44798/ |
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| Summary: | Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and signal processing. The main goal of this article is to establish a novel and generalized identity for the Caputo–Fabrizio fractional operator. With the help of this specific developed identity, we derive new fractional integral inequalities via exponential convex functions. Furthermore, we give an application to some special means. © 2024 by the authors. |
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