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

Hezenci F., Budak H., Kösem P.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.53, no.1, pp.49-64, 2023 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1216/rmj.2023.53.49
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.49-64
  • Kocaeli University Affiliated: No

Abstract

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.