Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

The main goal of the current study is to establish some new parameterized Newton-type inequalities for differentiable convex functions in the setting of fractional calculus. For this, first we prove a parameterized integral identity involving fractional integrals and then prove Newton-type inequalities for differentiable convex functions. It is also shown that the newly established parameterized inequalities are refinements of the already proved inequalities in the literature for different choices of parameters. Finally, we discuss a mathematical example along with a plot to show the validity of the newly established inequalities.

Açıklama

Anahtar Kelimeler

Simpson's 3/8 formula, Fractional Calculus, Convex Functions, Hadamard Type Inequalities, Convex-Functions, Simpsons Type, Real Numbers, Mappings

Kaynak

Journal of Inequalities And Applications

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

2023

Sayı

1

Künye