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