A STUDY of FRACTIONAL HERMITE-HADAMARD-MERCER INEQUALITIES for DIFFERENTIABLE FUNCTIONS

Thanin Sitthiwirattham, Miguel Vivas-Cortez, Muhammad Aamir Ali, Hüseyin Budak, Ibrahim Avci

Resumen

In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite-Hadamard-Mercer-Type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson's type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs.

Idioma original	Inglés
Número de artículo	2440016
Publicación	Fractals
Estado	Aceptada/en prensa - 2024

Nota bibliográfica

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© 2024 World Scientific Publishing Co. Pte Ltd. All rights reserved.

https://www.worldscientific.com/doi/10.1142/S0218348X24400164