Geodesic
On the Total Variation of a Function
Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 331-340

Voir la notice de l'article provenant de la source Cambridge University Press

There are a number of theories which assign to a function defined on the real line a measure that reflects somehow the variation of that function. The most familiar of these is, of course, the Lebesgue-Stieltjes measure associated with any monotonie function. The problem in general is to provide a construction of a measure from a completely arbitrary function in such a way that the values of this measure provide information about the total variation of the function over sets of real numbers and from which useful inferences can be drawn. 
Thomson, B. S. On the Total Variation of a Function. Canadian mathematical bulletin, Tome 24 (1981) no. 3, pp. 331-340. doi: 10.4153/CMB-1981-050-3
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