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| Presentation | 2016-01-29 10:25 On a piecewise linear enclosure of a continuous function of many variables -- Error bounds of numerical convolution -- Hideaki Okazaki, Shunsuke Otsuka, Hideo Nakano (SIT)  CAS2015-72 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We provide the importance that Weierstrass's approximation theorem contributes to constructions of piecewise linear enclosures (having representable lower and upper bounds) of continuous functions of many variables in order to obtain the rigorous enclosures of sets of solutions to nonlinear system equations or computation nonlinear problems. We also consider an error evaluation of numerical integrations of convolutions in Weierstrass's approximation theorem. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Weierstrass's approximation theorem / numerical integration error of convolution / / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 115, no. 422, CAS2015-72, pp. 61-66, Jan. 2016. | |
| Paper # | CAS2015-72 | |
| Date of Issue | 2016-01-21 (CAS) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2015-72 |
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| Conference Information | |
| Committee | CAS |
| Conference Date | 2016-01-28 - 2016-01-29 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | CAS |
| Conference Code | 2016-01-CAS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On a piecewise linear enclosure of a continuous function of many variables |
| Sub Title (in English) | Error bounds of numerical convolution |
| Keyword(1) | Weierstrass's approximation theorem |
| Keyword(2) | numerical integration error of convolution |
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| 1st Author's Name | Hideaki Okazaki |
| 1st Author's Affiliation | Shonan Institute of Technology (SIT) |
| 2nd Author's Name | Shunsuke Otsuka |
| 2nd Author's Affiliation | Shonan Institute of Technology (SIT) |
| 3rd Author's Name | Hideo Nakano |
| 3rd Author's Affiliation | Shonan Institute of Technology (SIT) |
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| Speaker | Author-1 |
| Date Time | 2016-01-29 10:25:00 |
| Presentation Time | 25 minutes |
| Registration for | CAS |
| Paper # | CAS2015-72 |
| Volume (vol) | vol.115 |
| Number (no) | no.422 |
| Page | pp.61-66 |
| #Pages | 6 |
| Date of Issue | 2016-01-21 (CAS) |
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