Publication: On a linear refinement of the Prékopa-Leindler inequality
Authors
Colesanti, Andrea ; Saorín Gómez, Eugenia ; Yepes Nicolás, Jesús
item.page.secondaryauthor
Facultades de la UMU::Facultad de Matemáticas
item.page.director
Publisher
Cambridge University Press
publication.page.editor
publication.page.department
DOI
https://doi.org/10.4153/CJM-2015-016-6
item.page.type
info:eu-repo/semantics/article
Description
Abstract
If f; g : R^n -> R>=0 are non-negative measurable functions, then the Prékopa-Leindler inequality asserts that the integral of the Asplund sum (provided that it is measurable) is greater or equal than the 0-mean of the integrals of f and g. In this paper we prove that under the sole assumption that f and g have a common projection onto a hyperplane, the Prékopa-Leindler inequality admits a linear refinement. Moreover, the same inequality can be obtained when assuming that both projections (not necessarily equal as functions) have the same integral. An analogous approach may be also carried out for the so-called Borell-Brascamp-Lieb inequality.
publication.page.subject
Citation
Colesanti A, Saorín Gómez E, Yepes Nicolás J. On a Linear Refinement of the Prékopa-Leindler Inequality. Canadian Journal of Mathematics. 2016;68(4):762-783.
item.page.embargo
Collections
Ir a Estadísticas
Este ítem está sujeto a una licencia Creative Commons. http://creativecommons.org/licenses/by-nc-nd/4.0/