| On the Seneta Sequences |
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| 作者姓名： | Dragan DJURCIC Aleksandar TORGASEV |
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| 作者单位： | [1]Technical Faculty, Svetog Save 65, 32000 Cacak, Serbia and Montenegro [2]Faculty of Mathematics, Studentski trg 16a, 11000 Beograd, Serbia and Montenegro |
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| 基金项目： | Supported by the Grant No, 144031 by Ministary of Science of Republic of Serbia,Acknowledgement The authors are very indebted to the referees for their very valuable and interesting remarks and suggestions, which improve the expression in this paper, and result in the appearance of the new assertion （b） in the Proposition 1, and the completely new Propositions 2 and 3. |
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| 摘 要： |
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| 关 键 词： | Seneta序列 Seneta函数 规则变化函数 表征定理 |
| 收稿时间： | 2004-03-18 |
| 修稿时间： | 2004-03-182005-01-19 |
On the Seneta Sequences |
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| Dragan DJURCIC Aleksandar TORGASEV.On the Seneta Sequences[J].Acta Mathematica Sinica,2006,22(3):689-692. |
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| Authors: | Dragan Djur?i? Aleksandar Torga?ev |
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| Institution: | (1) Technical Faculty, Svetog Save 65, 32000 Čačak, Serbia and Montenegro;(2) Faculty of Mathematics, Studentski trg 16a, 11000 Beograd, Serbia and Montenegro |
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| Abstract: | In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc. |
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| Keywords: | Regularly varying functions and sequences Seneta functions and sequences Representation theorem |
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