On results of midpoint-type inequalities for conformable fractional operators with twice-differentiable functions
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Honam Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article establishes an equality for the case of twice -differentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpoint -type inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are ob-tained by taking advantage of the convexity, the Hodlder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature.
Açıklama
Anahtar Kelimeler
midpoint-type inequality, fractional conformable integrals, fractional conformable derivatives, fractional calculus, convex function, Hermite-Hadamard, Real Numbers, Integrals, Mappings
Kaynak
Honam Mathematical Journal
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
45
Sayı
2
