
handle: 10077/6480
Si definisce la variazione seconda generalizzata di una funzione misurabile $f:[a,b]\rightarrow\mathfrak{R}$ come integrale alla Burkill-Cesari di una opportuna funzione d'intervallo associata alla f, proponendo così un metodo diretto per la sua determinazione. Si esaminano poi varie proprietà delle funzioni a variazione seconda limitata in senso generalizzato.
We define the second generalized variation of a measurable function $f:[a,b]\rightarrow\mathfrak{R}$ by means of Burkill-Cesari type integral of a proper interval function, obtaining in this manner a direct method for its calculus. We establish then several propertes of bounded second generalized variation functions.
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