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
