A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem

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dc.contributor.authorIagar, Razvan Gabriel
dc.contributor.authorPuertas-Centeno, David
dc.date.accessioned2025-08-01T10:31:34Z
dc.date.available2025-08-01T10:31:34Z
dc.date.issued2025-12
dc.descriptionR. G. I. and D. P.-C. are very grateful to the Ministry of Science and Innovation of Spain for its partial financial support under Grants PID2020-115273GB-100 (AEI/FEDER, EU) and RED2022-134301-T funded by MCIN/AEI/10.13039/501100011033. D. P.-C. is also partially supported by the Grant PID2023-153035NB-100 funded by MICIU/AEI/10.13039/501100011033 and “ERDF/EU A way of making Europe”.
dc.description.abstractclasses of probability densities in R. These transformations have the property of interchanging the main informational measures such as 𝑝−moments, Shannon and Rényi entropies, and Fisher information. We thus apply them in order to establish extensions and generalizations of the Stam and moment-entropy inequalities in a mirrored domain of the entropic indexes. Moreover, with the aid of the two transformations we establish formal solutions to the Hausdorff entropic moment problem by connecting them with the solutions of the standard Hausdorff problem. In addition, we introduce a Fisher-like moment problem and relate it to the standard Hausdorff moment problem.
dc.identifier.citationRazvan Gabriel Iagar, David Puertas-Centeno, A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem, Communications in Nonlinear Science and Numerical Simulation, Volume 151, 2025, 109091, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2025.109091
dc.identifier.doihttps://doi.org/10.1016/j.cnsns.2025.109091
dc.identifier.issn1878-7274 (online)
dc.identifier.issn1007-5704 (print)
dc.identifier.urihttps://hdl.handle.net/10115/97597
dc.language.isoen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial 4.0 Internationalen
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectMoment-entropy inequality
dc.subjectGeneralized stam inequality
dc.subjectShannon and Rényi entropies
dc.subjectFisher information
dc.subjectTransformations
dc.subjectHausdorff moment problem
dc.titleA new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problem
dc.typeArticle

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