|
|||||
|
|
Bounded variation in the mean |
|
| Authors: | Pamela B. Pierce Daniel Waterman |
| Affiliation: | Department of Mathematical Sciences, The College of Wooster, Wooster, Ohio 44691 ; Department of Mathematics, Syracuse University, Syracuse, New York 13244 - Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 |
| Abstract: | It is shown that the concept of bounded variation in the mean is not a meaningful generalization of ordinary bounded variation. In fact, it is a characterization of functions which differ from functions of bounded variation on a zero set. |
| Keywords: | Bounded variation Fourier series |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |