Some integral inequalities for approximately h-convex functions and their applications
Abstract In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder-Íşcan integral inequality three inequalities of Hermite-Hadamard and Hadamard integral type for (h, d)-convex functions have been established. Various special cases includin...
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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2021
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200481 |
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| Sumario: | Abstract In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder-Íşcan integral inequality three inequalities of Hermite-Hadamard and Hadamard integral type for (h, d)-convex functions have been established. Various special cases including classes for instance, h-convex, s-convex function of Breckner and Godunova-Levin-Dragomir and strong versions of the aforementioned types of convex functions have been identified. Some applications to error estimations of presented results have been analyzed. At the end, a briefly conclusion is given. |
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