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On the critical case of Okamoto's continuous non-differentiable functions
http://hdl.handle.net/2297/37862
http://hdl.handle.net/2297/37862c84b556a-8626-415b-9341-22d994801409
名前 / ファイル | ライセンス | アクション |
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SC-PR-KOBAYASHI-K-101.pdf (184.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-10-03 | |||||
タイトル | ||||||
タイトル | On the critical case of Okamoto's continuous non-differentiable functions | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
Kobayashi, Kenta
× Kobayashi, Kenta |
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書誌情報 |
Proceedings of the Japan Academy Series A: Mathematical Sciences 巻 85, 号 8, p. 101-104, 発行日 2009-01-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0386-2194 | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00785474 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.3792/pjaa.85.101 | |||||
出版者 | ||||||
出版者 | 日本学士院 = Japan Academy | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In a recent paper in this Proceedings, H. Okamoto presented a parameterized family of continuous functions which contains Bourbaki's and Perkins's nowhere differentiable functions as well as the Cantor-Lebesgue singular function. He showed that the function changes it's differentiability from 'differentiable almost everywhere' to 'non-differentiable almost everywhere' at a certain parameter value. However, differentiability of the function at the critical parameter value remained unknown. For this problem, we prove that the function is non-differentiable almost everywhere at the critical case. © 2009 The Japan Academy. | |||||
権利 | ||||||
権利情報 | Copyright © The Japan Academy | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://www.japan-acad.go.jp/ | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://projecteuclid.org/ |