Inequalities with parameters for twice-differentiable functions involving Riemann-Liouville fractional integrals
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, it is given an equality for twice-differentiable functions whose second derivatives in absolute value are convex. By using this equality, it is established several left and right Hermite- Hadamard type inequalities and Simpson type inequalities for the case of Riemann-Liouville fractional integral. Namely, midpoint, trapezoid and also Simpson type inequalities are obtained for Riemann- Liouville fractional integral by using special cases of main results.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, Simpson inequality, Fractional integral operators, Convex function, Twice differentiable function, Midpoint-Type Inequalities, Hadamard-Type Inequalities, Hermite-Hadamard, Real Numbers, Simpson Type, Mappings
Kaynak
Filomat
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
38
Sayı
9
