Bateman, H. (1936) Functional differential equations and inequalities. Proceedings of the National Academy of Sciences of the United States of America, 22 (3). pp. 170-172. ISSN 0027-8424 http://resolver.caltech.edu/CaltechAUTHORS:BATpnas36a
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Abstract
Let us first try to find the minimum value of the integral ∫02π[f’(x)+mf(x + π)+e(x)]^2dx where f(x) is a uniform function of period 2π which is integrable and such that ∫02π[f(x)]^2dx=1.
| Item Type: | Article |
|---|---|
| Additional Information: | © 1936 by the National Academy of Sciences. Communicated January 27, 1936. |
| Record Number: | CaltechAUTHORS:BATpnas36a |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:BATpnas36a |
| Alternative URL: | http://www.pnas.org/cgi/reprint/22/3/170 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 9390 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Tony Diaz |
| Deposited On: | 18 Dec 2007 |
| Last Modified: | 26 Dec 2012 09:48 |
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