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• W3105895991 abstract "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 the 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. Copyright © 2014 John Wiley & Sons, Ltd." @default.
• W3105895991 created "2020-11-23" @default.
• W3105895991 creator A5032702583 @default.
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• W3105895991 date "2014-02-19" @default.
• W3105895991 modified "2023-10-06" @default.
• W3105895991 title "The play operator, the truncated variation and the generalisation of the Jordan decomposition" @default.
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• W3105895991 doi "https://doi.org/10.1002/mma.3077" @default.
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