Weighted fractional inequalities for new conditions on h-convex functions

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We use a new function class called B-function to establish a novel version of Hermite-Hadamard inequality for weighted psi-Hilfer operators. Additionally, we prove two new identities involving weighted psi-Hilfer operators for differentiable functions. Moreover, by employing these equalities and the properties of the B-function, we derive several trapezoid- and midpoint-type inequalities for h-convex functions. Furthermore, the obtained results are reduced to several well-known and some new inequalities by making specific choices of the function h.

Açıklama

Anahtar Kelimeler

Fractional conformable integrals, Fractional conformable derivative, Hermite-Hadamard inequality, Hermite-Hadamard, Integrals

Kaynak

Boundary Value Problems

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

2024

Sayı

1

Künye