6. Numerical functions with bounded variations of one variable
This section considers functions of one real (or complex) variable with real (or complex) values.
A function is said to have bounded variation when it satisfies a certain variational regularity condition, introduced in 1881 by the French mathematician C. Jordan.
Definition (total variation). The total variation of a real-valued (or complex) function f defined on a closed, bounded interval
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Numerical functions with bounded variations of one variable
Bibliography
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(1) - ALBERTI (G.), MANTEGAZZA (C.) -
A Note on the Theory of SBV Functions,
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Bollettino Unione Matematica Italiana Sezione B, Vol. 7, n° 11, pp. 375-382 (1997).
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(2) - AMBROSIO (L.) -
Metric space valued functions with...
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