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

Künye