Łoskot-Rudnicki’s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity

Étienne Bernard

doi:10.1007/s10440-022-00514-w

Łoskot-Rudnicki’s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity

Étienne Bernard

Research output: Contribution to journal › Article › peer-review

Abstract

The Generalized Relative Entropy inequality is a ubiquitous property in mathematical models applied in physics or biology. In spite of its importance, it is currently proved on a case-by-case basis in the literature. Here, we show that GRE is actually a generic consequence of Łoskot-Rudnicki’s inequality that is reminiscent of Jensen’s inequality.

Original language	English
Article number	13
Journal	Acta Applicandae Mathematicae
Volume	180
Issue number	1
DOIs	https://doi.org/10.1007/s10440-022-00514-w
Publication status	Published - 1 Aug 2022

Keywords

Function space
Generalized Relative Entropy
Jensen’s inequality
KB-spaces
Riesz space

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10.1007/s10440-022-00514-w

Cite this

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KW - KB-spaces

KW - Riesz space

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Łoskot-Rudnicki’s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity

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Keywords

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