| 与GA-凸函数有关的两个函数 |
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| 引用本文： | 时统业,吴涵.与GA-凸函数有关的两个函数[J].数学的实践与认识,2012,42(10):230-237. |
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| 作者姓名： | 时统业 吴涵 |
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| 作者单位： | 海军指挥学院浦口分院,江苏南京,211800 |
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| 摘 要： | 引入两个与GA-凸函数有关的函数,研究了它们的凸性、单调性及相互关系,获得了已有文献关于GA-凸函数的Hadamard型不等式的加细,也得到一些新的不等式.
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| 关 键 词： | GA-凸函数 凸函数 单调性 Hadamard型不等式 加细 |
Two Mappings Associating with GA-Convex Functions |
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| SHI Tong-ye
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WU Han.Two Mappings Associating with GA-Convex Functions[J].Mathematics in Practice and Theory,2012,42(10):230-237. |
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| Authors: | SHI Tong-ye WU Han |
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| Institution: | (Pukou Institute of Naval Command College,Nanjing,211800,China) |
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| Abstract: | In this paper,two mappings associating with GA-convex functions are defined, their monotonicity and convexity is given,new refinements of Hermite-Hadamard s inequality for GA-convex functions are obtained,several new inequalities are established. |
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| Keywords: | GA-convex function convex function Hermite-Hadamard’s inequality refinement |
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