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) identifier identifier

  • 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.