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math-ph2025
Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalities
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce new classes of informational functionals, called \emph{upper moments}, respectively \emph{down-Fisher measures}, obtained by applying classical functionals such as …
math-ph2025
A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem
Razvan Gabriel Iagar, David Puertas-Centeno
We introduce a pair of transformations, which are mutually inverse, acting on rather general classes of probability densities in R. These transformations have the property of inter…