Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functions
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Islamic Azad Univ, Shiraz Branch
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.
Açıklama
Anahtar Kelimeler
Simpson-type inequality, fractional conformable integrals, fractional conformable derivatives, fractional calculus, convex function
Kaynak
Journal of Mathematical Extension
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
17
Sayı
3
