摘要
研究可微(h-m)-凸函数的不等式.首先给出在h可微且满足h(0)=0,h(1)=1的情况下,可微(h-m)-凸函数的一个必要条件:mh′(0)f(y)-h′(1)f(x)≥(my-x)f′(x),由此出发可获得若干不等式.另外,在不要求h和f可微的情况下,给出一个新的Hermite-Hadamard型不等式.
The inequalities involving differentiable（h-m）-convex functions are studied.A necessary condition of differentiable（h-m）-convex functions is first given：mh′（0）f（y）-h′（1）f（x）≥（my-x）f′（x）,where his differentiable and h（0）=0,h（1）=1,and several inequalities are obtained.Moreover,a new HermiteHadamard type inequality for（h-m）-convex functions is established in case of not requiring hand fbeing differentiable.
出处
《大学数学》
2015年第6期16-19,共4页
College Mathematics
