A NEW VERSION OF NEWTON'S INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Hezenci, Fati; Budak, HÜSEYİN; Kösem, Pinar

doi:10.1216/rmj.2023.53.49

A NEW VERSION OF NEWTON'S INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

Hezenci F., Budak H., Kösem P.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.53, sa.1, ss.49-64, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 53 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.1216/rmj.2023.53.49
Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Sayfa Sayıları: ss.49-64
Kocaeli Üniversitesi Adresli: Hayır

Özet

We establish some Newton's type inequalities in the case of differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Furthermore, we give an example with graph and present the validity of the newly obtained inequalities. Finally, we give some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation.