Some new hermite–hadamard and related inequalities for convex functions via (P, q)-integral

Miguel Vivas-Cortez, Muhammad Aamir Ali, Hüseyin Budak, Humaira Kalsoom, Praveen Agarwal

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

38 Citas (Scopus)

Resumen

In this investigation, for convex functions, some new (p, q)–Hermite–Hadamard-type inequalities using the notions of (p, q)π2 derivative and (p, q)π2 integral are obtained. Furthermore, for (p, q)π2-differentiable convex functions, some new (p, q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p, q)π2 integral are offered. It is also shown that the newly proved results for p = 1 and q → 1 can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.

Idioma originalInglés
Número de artículo828
PublicaciónEntropy
Volumen23
N.º7
DOI
EstadoPublicada - jul. 2021
Publicado de forma externa

Nota bibliográfica

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© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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