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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	13
journal	Acta Applicandae Mathematicae
Volume	180
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s10440-022-00514-w
état	Publié - 1 août 2022

Accès au document

10.1007/s10440-022-00514-w

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{acd6dd12ae454d149704e33ed6e62c86,

title = "{\L}oskot-Rudnicki{\textquoteright}s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity",

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 {\L}oskot-Rudnicki{\textquoteright}s inequality that is reminiscent of Jensen{\textquoteright}s inequality.",

keywords = "Function space, Generalized Relative Entropy, Jensen{\textquoteright}s inequality, KB-spaces, Riesz space",

author = "{\'E}tienne Bernard",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2022",

month = aug,

day = "1",

doi = "10.1007/s10440-022-00514-w",

language = "English",

volume = "180",

journal = "Acta Applicandae Mathematicae",

issn = "0167-8019",

number = "1",

}

TY - JOUR

T1 - Łoskot-Rudnicki’s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity

AU - Bernard, Étienne

PY - 2022/8/1

Y1 - 2022/8/1

N2 - 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.

AB - 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.

KW - Function space

KW - Generalized Relative Entropy

KW - Jensen’s inequality

KW - KB-spaces

KW - Riesz space

UR - https://www.scopus.com/pages/publications/85133666508

U2 - 10.1007/s10440-022-00514-w

DO - 10.1007/s10440-022-00514-w

M3 - Article

AN - SCOPUS:85133666508

SN - 0167-8019

VL - 180

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

IS - 1

M1 - 13

ER -

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

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation