| Autor: |
Ghomrasni, R., Łochowski, R. |
| Rok vydání: |
2013 |
| Předmět: |
|
| Zdroj: |
Mathematical Methods in the Applied Sciences, 38, p. 403-419 (2015) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1002/mma.3077 |
| Popis: |
The play operator minimalizes the total variation on intervals $[0,T], T> 0$, of functions approximating uniformly given regulated function with given accuracy and starting from a given point. In this article we link the play operator with so called truncated variation functionals, introduced recently by the second-named author, and provide a semi-explicit expression for the play operator in terms of these functionals. Generalisation for time-dependent boundaries is also considered. This gives the best possible lower bounds for the total variation of the outputs of the play operator and its Jordan-like decomposition. |
| Databáze: |
arXiv |
| Externí odkaz: |
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