Conformable fractional Newton-type inequalities with respect to differentiable convex functions

Küçük Resim Yok

Tarih

2023

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

Künye