Geodesic
On second \(\kappa\)-variation
Commentationes Mathematicae, Tome 56 (2016) no. 2, p. 209−224.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We present the notion of bounded second \(\kappa\)-variation for real functions defined on an interval \([a,b]\). We introduce the class \(\kappa BV^{2}([a,b])\) of all functions of bounded second \(\kappa\)-variation on \([a,b]\). We show several properties of this class and present a sufficient condition under which a composition operator acts between these spaces.
DOI : 10.14708/cm.v56i2.1233
Classification : 26A45, 26B30
Mots-clés : functions of bounded second variation, functions of bounded variation, \(\kappa\)-function 
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Jurancy Josefina Ereú; Lorena Maria Lopez; Nelson José Merentes. On second \(\kappa\)-variation. Commentationes Mathematicae, Tome 56 (2016) no. 2, p.  209−224. doi : 10.14708/cm.v56i2.1233. http://geodesic.mathdoc.fr/articles/10.14708/cm.v56i2.1233/

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