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Paper Abstract and Keywords
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
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
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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

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
Date Time 2016-01-29 10:25:00 
Presentation Time 25 
Registration for CAS 
Paper # IEICE-CAS2015-72 
Volume (vol) IEICE-115 
Number (no) no.422 
Page pp.61-66 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2016-01-21 


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