〈l,t〉几何凸函数及应用研究

Preliminary Research of 〈l,t〉 Geometric Convex Function

定义了一类新的几何凸函数:〈l,t〉几何凸函数,它们是通常的几何凸函数的更一般形式.同时建立了有关〈l,t〉几何凸函数一系列新的不等式,它们是通常的几何凸函数中某些著名不等式的推广,最后是〈l,t〉几何凸函数的运用.

A new type of convex function is defined in a way as 〈l,t〉 geometric convex function,which is a general form of the usual geometric convex function.Moreover,a series of inequalities for this type of geometric convex function are established,which are generalization of famous inequalities of general geometric convex functions.Finally,the application of 〈l,t〉 geometric convex function is expounded.