6. Numerical functions with bounded variations of one variable
This section considers functions of one real (or complex) variable with real (or complex) values.
6.1 Definition
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 from ...
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