若干有关欧阳不等式的非线性积分不等式和离散不等式

On Some Nonlinear Integral and Discrete Inequalities Related to Ou Iang′s Inequality

获得几个非线性的积分不等式及离散不等式．它们和近期Ｐａｃｈｐａｔｅ［１］中欧阳亮不等式［２］的推广有关．作为特殊情形还导出了一些具有幂非线性的新不等式．为说明结果的有用性，讨论了某个非线性差分方程解的有界性．

Nonlinear integral and discrete inequalities are obtained which related to some recent generalizations of Ou Iang integral inequality given by B.G. Pachpatte in . As special cases some new inequalities with the power nonlinearity are derived from our main results. To convey the usefulness of the results obtained, boundedness of solutions to a certain nonlinear difference equation is also discussed.