Some Generalizations of Integral Inequalities and Their Applications

In this paper, an integral identity for twice differentiable functions is generalized. Then, by using convexity of |f''| or q-th power of |f''| and with the aid of power mean and Holder's inequalities we achieved some new results. We also gave some applications to quadrature formulas and some special means. Therewithal, by choosing (alpha=1/2) in our main results, we obtained some findings in [13].