Extensions of interpolation between the arithmetic-geometric mean inequality for matrices

In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are [Formula: see text] matrices, then [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Form...

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Detalles Bibliográficos
Autores principales: Bakherad, Mojtaba, Lashkaripour, Rahmatollah, Hajmohamadi, Monire
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5589830/
https://www.ncbi.nlm.nih.gov/pubmed/28943739
http://dx.doi.org/10.1186/s13660-017-1485-x
Descripción
Sumario:In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if A, B, X are [Formula: see text] matrices, then [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] are non-negative continuous functions such that [Formula: see text] and [Formula: see text] ([Formula: see text] ). We also obtain the inequality [Formula: see text] in which m, n, s, t are real numbers such that [Formula: see text] , [Formula: see text] is an arbitrary unitarily invariant norm and [Formula: see text] .

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