对数凸函数的Herimite-Hadamard型积分不等式

Integral inequalities of Herimite-Hadamard type for log-convex functions

引进了新的二元对数凸函数的定义,建立了积分等式,并利用Hlder不等式得到了一些新的关于对数凸函数的Herimite-Hadamard型积分不等式.

Convex function is an important concept of modern mathematics and plays an important role in mathematics and other subject fields . Herimite-Hadamard type integral inequalitiy , the first basic conclusion of convex function with a natural geometric interpretation , is widely applied in cybernetics theory ,and so on .In this paper , the definition of a new log-convex function in two variables has been introduced ,an integral equality has been established , and some new Herimite-Hadamard type integral inequalities concerned with log-convex function have been obtained from H？lder inequality .