| 函数凸性引伸及应用 |
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| 引用本文： | 李群芳,赵焕光.函数凸性引伸及应用[J].温州大学学报(自然科学版),2010,31(3):1-6. |
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| 作者姓名： | 李群芳 赵焕光 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江温州,325035 |
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| 摘 要： | 利用几何平均凸函数、对数凸函数、几何凸函数的性质建立若干新的不等式,使得某些国际数学奥林匹克竞赛题与数学通报问题作为其特例得以解决.
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| 关 键 词： | 函数凸性 几何平均凸函数 对数凸函数 几何凸函数 不等式 |
Extension of Convexity of Function and Its Application |
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| LI Qunfang,ZHAO Huanguang.Extension of Convexity of Function and Its Application[J].Journal of Wenzhou University Natural Science,2010,31(3):1-6. |
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| Authors: | LI Qunfang ZHAO Huanguang |
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| Institution: | LI Qunfang,ZHAO Huanguang (College of Mathematics and Information Science,Wenzhou University,Wenzhou,China 325035) |
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| Abstract: | Properties of geometric mean convex functions,logarithmic convex functions and geometric convex functions were used to establish a number of new inequalities.Based on these inequalities,some problems of the International Mathematics Olympics Competition and issues of the Mathematical Bulletin, which could be treated as special cases,can be solved. |
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| Keywords: | Convexity of Function Geometric Mean Convex Function Logarithmic Convex Function Geometric Convex Function Inequality |
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