| 范数可微的充分条件 |
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| 引用本文： | 俞鑫泰,张文耀.范数可微的充分条件[J].辽宁师范大学学报(自然科学版),1987(2). |
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| 作者姓名： | 俞鑫泰 张文耀 |
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| 作者单位： | 华东师范大学，数学系 |
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| 摘 要： | 本文证明1]和2]中所给出的范数Gateaux可微的充分条件实际上是范数Frechet可微的充分条件,并给出较1]和2]弱的范数Gateaux可微的充分条件。
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| 关 键 词： | 范数可微 充分条件 范数Gateaux可微 范数Frechet可微 |
Sufficient Conditions of the Differentiability of Norms |
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| Yu Xintai.Sufficient Conditions of the Differentiability of Norms[J].Journal of Liaoning Normal University(Natural Science Edition),1987(2). |
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| Authors: | Yu Xintai |
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| Abstract: | In the paper, we prove that the sufficient conditions of Gateaux differentiability of norms given in (1)and(2)is, in fact, a sufficient Condition of Frechet differentiability of norms. And we also give asufficient condition of Gateaux differentiability of norms which is weaker than those in(1)and(2). |
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| Keywords: | differentiability of norms Sufficient Condition Gateaux differentiability of norms Frechet differentiability of norms |
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