Research article

Weighted Ostrowski, trapezoid and midpoint type inequalities for RiemannLiouville fractional integrals

  • Received: 07 October 2019 Accepted: 13 February 2020 Published: 20 February 2020
  • MSC : 26B25, 26D10, 26D15

  • 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.

    Citation: Hüseyin Budak, Ebru Pehlivan. Weighted Ostrowski, trapezoid and midpoint type inequalities for RiemannLiouville fractional integrals[J]. AIMS Mathematics, 2020, 5(3): 1960-1984. doi: 10.3934/math.2020131

    Related Papers:

  • 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.


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