摘要
仿照文[15]建立凸函数的Hermite-Hadamard型不等式的方法,建立了GA-凸函数的Hermite-Hadamard型不等式.对于可微函数f(x),在|f'(x)|~q或x^q|f'(x)|~q是GA-凸函数的情况下,给出由这个Hermite-Hadamard型不等式生成差值的估计.
Modeled by the method to establish Hermite-Hadamard type inequality in existing literature,some Hermite-Hadamard type inequalities for GA-convex functions are established.For differentiable function,the estimation of the difference generated by this Hermite-Hadamard type inequality is given when|f'(x)|^q or x^q|f'(x)|^q is GA-convex function.
作者
董芳芳
时统业
DONG Fangfang;SHI Tongye(PLA Naval Command College,Nanjing 211800,China)
出处
《湖南理工学院学报（自然科学版）》
CAS
2018年第4期1-6,共6页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
