| 三角多项式T(x)恒为零的充分必要条件的证明 |
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| 引用本文： | 张亭.三角多项式T(x)恒为零的充分必要条件的证明[J].南通职业大学学报,2004,18(4):7-8. |
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| 作者姓名： | 张亭 |
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| 作者单位： | 南通职业大学,基础课部,江苏,南通,226007 |
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| 摘 要： | 利用三角和式的各阶导数以及线性代数理论，给出了一般情形下三角多项式恒等于零的充分必要条件的证明，并得到在三角函数和式周期问题研究中非常有用的推论。
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| 关 键 词： | 三角多项式 充分必要条件 |
| 文章编号： | 1008-5327(2004)04-0007-02 |
A New Proof of the Necessary and Sufficient Condition of the Trigonometric Polynomial Identically Equals Zero |
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| ZHANG Ting.A New Proof of the Necessary and Sufficient Condition of the Trigonometric Polynomial Identically Equals Zero[J].Journal of Nantong Vocational College,2004,18(4):7-8. |
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| Authors: | ZHANG Ting |
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| Abstract: | In this paper,using the derivative functions of the trigonometric polynomial and the theoryof the linear algebra,we give a new proof of the necessary and sufficient condition of the trigonomet-ric polynomial identically equals zero under the general shuation,and meanwhile give a corollarywhich is very useful in discussing the period problem of the trigonometric polynomials. |
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| Keywords: | Key Words:trigonometric polynomial necessary and sufficient condition |
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