Author

W. Trutschnig

2 papers indexed here

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Open access 2023

On Special Partitions of [0,1] and Lineability within Families of Bounded Variation Functions

We show that there exist large algebraic structures (vector spaces, algebras, closed subspaces, etc.) formed entirely (except for 0), on one hand, by singular, nowhere monotonic functions on [0,1] and, on the other hand, by absolutely continuous nowhere monotonic functions. Several tools, of independent interest, rel...

L. Bernal-González, J. Fernández-Sánchez, J. Seoane-Sepúlveda et al. · Journal of Convex Analysis · 1 citation

Preprint Sep 2026

On families of bivariate copulas and their interrelation with the Hilbert space l2 and the Hilbert cube H

The Markov kernel based metric $D_1$ was introduced in 2011 in order to construct the scale-invariant dependence measure $\zeta_1$, which assign each bivariate copula $C$ a dependence value in $[0,1]$, with $0$ exclusively for the case of independence, and $1$ exclusively for complete/functional dependence. In the orig...

Juan Fern'andez S'anchez, W. Trutschnig · 0 citations