Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Holder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.
Açıklama
Anahtar Kelimeler
Bullen-type inequalities, Convex functions, Fractional integrals, Riemann-Liouville fractional integrals, Conformable fractional integrals, Hadamard
Kaynak
Journal of Inequalities And Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
2024
Sayı
1
