Generalizations of fractional hermite-hadamard-mercer like inequalities for convex functions

Miguel Vivas-Cortez, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

19 Citas (Scopus)

Resumen

In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer (HHM) type inequalities. We discuss special cases of our main results and give new inequalities of HH and HHM type for different fractional integrals like, Riemann-Liouville (RL) fractional integrals, k-Riemann-Liouville (k-RL) fractional integrals, conformable fractional integrals and fractional integrals of exponential kernel.

Idioma originalInglés
Páginas (desde-hasta)9397-9421
Número de páginas25
PublicaciónAIMS Mathematics
Volumen6
N.º9
DOI
EstadoPublicada - 23 jun. 2021

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© 2021 the Author(s), licensee AIMS Press.

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