Fractional Ostrowski type inequalities for bounded functions

Abstract

Abstract We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions L p $L_{p}$ , L ∞ $L_{\infty }$ and L 1 $L_{1}$ , respectively. We also give some midpoint type inequalities as special cases of our main results.

Keywords

• Bounded functions
• Fractional integrals
• Ostrowski type inequalities
• Midpoint type inequalities