Conformable fractional Newton-type inequalities with respect to differentiable convex functions
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Holder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.
Açıklama
Anahtar Kelimeler
Newton formula, Fractional calculus, Conformable fractional integrals
Kaynak
Journal of Inequalities And Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
2023
Sayı
1