F-G广义凸函数的一个性质及其应用

A property of F-G generalized convex functions and its applications

给出F-G广义凸函数的一个性质,由此直接得到F-G广义凸函数的一个Hadamard型不等式,它蕴含了诸如预不变凸函数、对数凸函数、几何凸函数、F拟凸函数、r-凸函数等特殊类型的凸函数的Hadamard型不等式.

A property of F-G generalized convex functions is given, and a Hadamard＇ type inequality for F-G generalized convex functions is established, it deriving Hadamard＇ type inequalities for special types of convex functions, such as preinvex functions, logarithmic convex functions, geometric convex functions, F quasi convex functions, r-convex functions.