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Resumen
We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite-Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Hölder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.
Idioma original | Inglés |
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Número de artículo | 2450137 |
Publicación | Fractals |
Volumen | 33 |
N.º | 3 |
DOI | |
Estado | Publicada - 2025 |
Nota bibliográfica
Publisher Copyright:© 2024 The Author(s).
Huella
Profundice en los temas de investigación de 'Remarks On Inequalities With Parameter By Conformable Fractional Integrals'. En conjunto forman una huella única.Proyectos
- 1 Activo
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LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES
Vivas Cortez, M. J. (Director), Jaramillo Villagómez, J. E. (Investigador principal), VELASCO VELASCO, J. (Investigador Externo), Thabet, S. T. M. (Investigador Externo) & BRAVO QUEZADA, W. G. (Investigador principal)
10/08/24 → 11/08/26
Proyecto: Investigación