Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals

Budak H., Pehlivan E.

AIMS MATHEMATICS, no.3, pp.1960-1984, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2020131
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1960-1984
  • Kocaeli University Affiliated: No

Abstract

Our first aim is to establish two new identities for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain some new weighted versions of fractional trapezoid and Ostrowski type inequalities. Moreover, we give some weighted fractional midpoint type inequalities as special cases.