Hermite-Hadamard and Ostrowski type inequalities in h-calculus with applications

Miguel Vivas-Cortez, Muhammad Aamir Ali, Ghulam Murtaza, Ifra Bashir Sial

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)


In this paper, we prove Hermite-Hadamard inequality for convex functions in the framework of h-calculus. We also use the notions of h-derivative and h-integral to prove Ostrowski’s and trapezoidal type inequalities for bounded functions. It is also shown that the newly established inequalities are the generalization of the comparable inequalities in the literature. Finally, using some examples, we demonstrate the validity of newly formed inequalities and show how they can be used to special means of real numbers.

Idioma originalInglés
Páginas (desde-hasta)7056-7068
Número de páginas13
PublicaciónAIMS Mathematics
EstadoPublicada - 8 feb. 2022

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© 2022 the Author(s), licensee AIMS Press.


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