Abstract
It is well knowledge that the purpose of inequality is to develop various approaches to math-ematical problem solving. In order to prove the originality and existence of mathematical techniques, it is now necessary to seek exact inequalities. In the present research, we propose some novel weighted fractional Ostrowski-type inequalities for functions which are differentiable and satisfy quasi-geometrically convex using a new identity. Moreover, outcomes for functions with a bounded first derivative are proved. Finally, some examples are given to illustrate the investigated results. The obtained results generalize and refine previously known results.