On some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton’s type inequalities for differentiable convex functions and functions of bounded variation. Moreover, we give a mathematical example and graphical analysis of newly established inequalities to show their validity. © 2023, University of Nis. All rights reserved.
Açıklama
Anahtar Kelimeler
Convex Functions, Fractional Calculus, Simpson’s 3/8 formula
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
11