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GA-凸函数的Hadamard型不等式的推广
引用本文:时统业,施未来,陆敏,李鼎.GA-凸函数的Hadamard型不等式的推广[J].大学数学,2013,29(2):59-64.
作者姓名:时统业  施未来  陆敏  李鼎
作者单位:海军指挥学院浦口分院,江苏南京,211800
摘    要:对GA-凸函数的Hadamard型不等式加权推广,定义了与GA-凸函数定积分有关的函数,证明了它们具有某种准线性,从而得到这些函数的单调性.

关 键 词:GA-凸函数  Hadamard型不等式  准线性  单调性

Generalization of Hadamard' Inequality for GA-convex Functions
SHI Tong-ye , SHI Wei-lai , LU Min , LI Ding.Generalization of Hadamard' Inequality for GA-convex Functions[J].College Mathematics,2013,29(2):59-64.
Authors:SHI Tong-ye  SHI Wei-lai  LU Min  LI Ding
Affiliation:(Pukou Institute of Naval Command College, Nanjing 211800,China)
Abstract:We give a weighted generalization of Hadamard' Inequality for GA-convex functions. Two functions of integral inequalities on GA-convex functions are defined,and their quasi-linearity and monotonicity are proved.
Keywords:GA-convex functions  Hadamard' Inequality  quasi-linearity  monotonicity
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