On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional inte...
| 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:10810/60560 |
| Acceso en línea: | http://hdl.handle.net/10810/60560 |
| Access Level: | acceso abierto |
| Palabra clave: | convex function Ostrowski’s inequality Mercer inequality Riemann–Liouville fractional integral operators special means q-digamma functions Bessel function |
| Sumario: | This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained. |
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