著者
Satoshi Hayakawa Ken'ichiro Tanaka
出版者
The Japan Society for Industrial and Applied Mathematics
雑誌
JSIAM Letters (ISSN:18830609)
巻号頁・発行日
vol.12, pp.21-24, 2020 (Released:2020-04-17)
参考文献数
8
被引用文献数
1

We give a mathematical analysis of potential-theoretical numerical integration formulas mainly proposed by Tanaka et al. over weighted Hardy spaces, which are spaces of analytic functions with a certain decay. We investigate the case of choosing sampling points by discrete energy minimization. In order to bound the convergence rate of the numerical integration error, we make use of the recent result of Hayakawa and Tanaka on the function approximation formula.
著者
Shunki Kyoya Ken'ichiro Tanaka
出版者
The Japan Society for Industrial and Applied Mathematics
雑誌
JSIAM Letters (ISSN:18830609)
巻号頁・発行日
vol.11, pp.65-68, 2019 (Released:2019-09-23)
参考文献数
5

The double exponential formula, or the DE formula, is a high-precision integration formula using a change of variables called a DE transformation. However, it has a disadvantage that it is sensitive to singularities of an integrand near the real axis, and Slevinsky and Olver (SIAM J. Sci. Comput., 2015) attempted to improve it by constructing conformal maps based on the locations of singularities. In this letter, we construct a new transformation formula based on their ideas. This can be regarded as a generalization of the DE transformations. We confirm the effectiveness of this by a numerical experiment.
著者
Ken'ichiro Tanaka Atsuko Kobayashi
出版者
The Japanese Association of Administrative Science
雑誌
経営行動科学 (ISSN:09145206)
巻号頁・発行日
vol.28, no.3, pp.213-232, 2016 (Released:2016-08-31)
参考文献数
52

The effect of gender harassment in the workplace on job-related behaviors of working Japanese women, including organizational citizenship behavior (OCB) and organizational withdrawal behavior (OWB) was investigated through an on-line survey. Japanese women working in Japanese corporations (N = 500) participated in the study by responding to the survey. Results of hierarchical multiple regression analysis linking the frequency of experiencing gender harassment to job-related behaviors indicated that in working Japanese women (a) experiencing more frequent gender harassment at the workplace was associated with more frequent OWB and OCB; (b) higher evaluation of interactional justice at the workplace was associated with more frequent OCB; and (c) lower interactional justice at the workplace was associated with more frequent OWB under the commission model. Based on these findings in this study, we discuss the effect of gender harassment on job-related behaviors of Japanese women and future implications.