| 引用本文: | 凌德海.积分展开定理及其应用.[J].国防科技大学学报,1983,(3):45-61.[点击复制] |
| Ling Dehai.An Integral Expansion Theorem and Its Application[J].Journal of National University of Defense Technology,1983,(3):45-61[点击复制] |
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| 积分展开定理及其应用 |
| 凌德海 |
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| 摘要: |
| 本文推证了一个积分展开定理。根据这个定理，一个闭区间上定义的具有展成泰勒级数条件的函数，可以在一个特定的基函数上展开，而其展式的系数总含有这个函数在该区间上的多重积分。然后给出一个将该定理应用于制导的例子。 |
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| 投稿日期：1982-08-03 |
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| An Integral Expansion Theorem and Its Application |
| Ling Dehai |
| Abstract: |
| An integral expansion theorem is derived in this paper. On the basis of the theorem，a defining function in closed interval with condition of expansion in Taylor Series can be expanded in basis eigenfuction. And that expansion coefficient always contains i-integral of the function in the closed interval. Then an example on applying the theorem for guidance is given. |
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