ON IMPROVEMENTS OF SOME INTEGRAL INEQUALITIES

In this paper, improved power-mean integral inequality, which provides a better approach than power-mean integral inequality, is proved. Using H¨older-˙ I¸scan integral inequality and improved power-mean integral inequality, some inequalities of Hadamard’s type for functions whose derivatives in absolute value at certain power are quasi-convex are given. In addition, the results obtained are compared with the previous ones. Then, it is shown that the results obtained together with identity are better than those previously obtained. KCI Citation Count: 0