Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions
This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (ℎ1,ℎ2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a non-singular kernel and constructs some new theo...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/62728 |
| Acceso en línea: | http://hdl.handle.net/10810/62728 |
| Access Level: | acceso abierto |
| Palabra clave: | h-Godunova–Levin (h1, h2)-convexity Hermite–Hadamard inequality Caputo–Fabrizio operator |
| Sumario: | This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (ℎ1,ℎ2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a non-singular kernel and constructs some new theorems associated with fractional order integrals. Furthermore, we demonstrate that the obtained results are a generalization of the existing ones. To demonstrate the correctness of these results, we developed a few interesting non-trivial examples. Finally, we discuss some applications of our findings associated with special means. |
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