On second $\kappa $-variation
Commentationes Mathematicae, Tome 56 (2016) no. 2.

Voir la notice de l'article dans European Digital Mathematics Library

We present the notion of bounded second κ -variation for real functions defined on an interval [ a , b ] . We introduce the class κ B V 2 ( [ a , b ] ) of all functions of bounded second κ -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.
Mots-clés : functions of bounded second variation, functions of bounded variation, $\kappa $-function 
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     author = {Jurancy Josefina Ere\'u and Lorena Maria Lopez and Nelson Jos\'e Merentes},
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Jurancy Josefina Ereú; Lorena Maria Lopez; Nelson José Merentes. On second $\kappa $-variation. Commentationes Mathematicae, Tome 56 (2016) no. 2. https://geodesic-test.mathdoc.fr/item/COMA_2016__56_2_292381/