A weakened version of Davis-Choi-Jensen's inequality for normalised positive linear maps



Document title: A weakened version of Davis-Choi-Jensen's inequality for normalised positive linear maps
Journal: Proyecciones (Antofagasta)
Database: PERIÓDICA
System number: 000405882
ISSN: 0716-0917
Authors: 1
Institutions: 1Victoria University, College of Engineering and Science, Melbourne, Victoria. Australia
Year:
Season: Mar
Volumen: 36
Number: 1
Pages: 81-94
Country: Chile
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this paper we show that the celebrated Davis-Choi-Jensen's inequality for normalised positive linear maps can be extended in a weakened form for convex functions. A reverse inequality and applications for important instances of convex (concave) functions are also given
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Teoría de operadores,
Desigualdades,
Normas,
Transformaciones lineales,
Funciones reales,
Funciones convexas,
Función logarítmica,
Función exponencial,
Desigualdad de Jensen
Keyword: Mathematics,
Pure mathematics,
Operator theory,
Inequalities,
Norms,
Linear transformations,
Real functions,
Convex functions,
Logarithmic function,
Exponential function,
Jensen inequality
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