| 对函数几何凸性若干问题的理论研究 |
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| 引用本文： | 李世杰. 对函数几何凸性若干问题的理论研究[J]. 浙江万里学院学报, 2005, 18(2): 76-82 |
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| 作者姓名： | 李世杰 |
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| 作者单位： | 衢州市教育局,浙江,衢州,324002 |
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| 摘 要： | 介绍了函数几何凸性的几种判别方法,得到了几何凹函数之和的一个 "凸"性,证明了几何凸性函数的几个生成定理,并给出了一元高次多项式函数几何凸性的几个结论,最后给出几何凸函数定义的推广或类似,供进一步研究之用.
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| 关 键 词： | 凸函数 函数几何凸性 一元高次多项式函数 判别 生成定理 推广 |
| 文章编号： | 1671-2250(2005)02-0076-07 |
| 修稿时间： | 2004-11-22 |
Investigation of Some Problems on the Geometric Convex Functions |
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| LI Shi-jie. Investigation of Some Problems on the Geometric Convex Functions[J]. Journal of Zhejiang Wanli University, 2005, 18(2): 76-82 |
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| Authors: | LI Shi-jie |
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| Abstract: | We study several tests for geometric convex functions, and give some examples for the convexity of the sum of geometric concave functions, then prove some generating theorems of geometric convex functions, and show a few conclusions on geometric convexity for high-order polynomials in one variable,and finally provide the generalization or extension of the definition of geometric convex function for further study. |
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| Keywords: | convex (concave) function geometric convex function polynomial in one variable |
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