Fractional Ostrowski type inequalities for bounded functions

[摘要] 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 $L_{p}$, $L_{\infty }$ and $L_{1}$, respectively. We also give some midpoint type inequalities as special cases of our main results.

[学科分类] 电力

[关键词] Bounded functions;Fractional integrals;Ostrowski type inequalities;Midpoint type inequalities