| 一个由三次函数所生成的不等式 |
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| 引用本文： | 王江荣.一个由三次函数所生成的不等式[J].兰州石化职业技术学院学报,2011,11(1):63-64. |
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| 作者姓名： | 王江荣 |
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| 作者单位： | 兰州石化职业技术学院信控系,甘肃兰州,730060 |
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| 基金项目： | 甘肃省教育厅科研资助项目 |
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| 摘 要： | 函数f（x）=1＋x＋x3生成函数F（x）=f（x）f（x2）…f（xp-1）（p〉3）,ω是方程xp=1的一个复根,则有F（ω）≥1.在证明结论时,用了数学归纳法及根的存在性定理。
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| 关 键 词： | 三次函数 生成函数 共轭复根 |
An Inequality Generated by Three Functions |
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| WANG Jiang-rong.An Inequality Generated by Three Functions[J].Journal of Lanzhou Petrochemical Vocational College of Technology,2011,11(1):63-64. |
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| Authors: | WANG Jiang-rong |
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| Institution: | WANG Jiang-rong(Lanzhou Petrochemical College of Vocational Technology,Lanzhou 730060,china) |
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| Abstract: | A function f(x)=f(x)f(x2)…f(xp-1)(p>3) has been generated by function f(x)=1+x+x3 and the ω is a complex root of xp,then there are F(ω)≥1.In proof of conclusion,the induction and root of existence theorems are used. |
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| Keywords: | cubic functions generating functions conjugate complex roots |
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