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Properties of functions with bounded second variation in the generalized sense

Authors: Gori Cocchieri, Candida; Ragni, Marcello;

Properties of functions with bounded second variation in the generalized sense

Abstract

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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