On Generalized Harmonically Ψ-MT-Convex Functions via Local Fractional Integrals and some Applications

Miguel Vivas-Cortez, Muhammad Shoaib Saleem, Ahsan Fareed Shah, Waqas Nazeer, Jorge Eliecer Hernandez Hernandez

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

In this work, we introduce a new class of harmonically convex functions, namely, generalized harmonically Ψ-MT-convex functions established on fractal set techniques, for establishing inequalities of Hermite-Hadamard type and certain related variants with respect to the Raina’s function.With the help of an auxiliary identity associated with Raina’s function, by generalized Holder inequality and generalized power mean, generalized midpoint type, Ostrowski type, and trapezoid type inequalities via local fractional integral for generalized harmonically Ψ-MT-convex functions are given. The introduced technique gives the results by establishing some special values for the parameters or applying restrictive suppositions and is entirely practicable for regaining the existing inequalities in the related literature.

Idioma originalInglés
Páginas (desde-hasta)417-429
Número de páginas13
PublicaciónApplied Mathematics and Information Sciences
Volumen17
N.º3
DOI
EstadoPublicada - 1 may. 2023

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