Preliminary Research of 〈l,t〉 Geometric Convex Function

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.