Riemann-Liouville Fractional Newton's Type Inequalities for Differentiable Convex Functions

Sitthiwirattham T., Nonlaopon K., Ali M. A., Budak H.

FRACTAL AND FRACTIONAL, vol.6, no.3, 2022 (SCI-Expanded, SSCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.3390/fractalfract6030175
  • Journal Name: FRACTAL AND FRACTIONAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Kocaeli University Affiliated: No

Abstract

In this paper, we prove some new Newton's type inequalities for differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Moreover, we prove some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation. It is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature. Finally, we give some examples with graphs and show the validity of newly established inequalities.