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Monotonicity of certain maps and Callebaut-type integral inequalities for continuous fields of operators
Author(s)
Ploymukda, Arnon
Date Issued
January 1, 2019
Type
Article
Abstract
In this paper, we investigate the monotonicity and the convexity of certain maps involving continuous fields of positive invertible operators, the Tracy-Singh product and the Khatri-Rao product. We obtain a number of integral inequalities of Callebaut-type for bounded continuous fields of operators involving certain kinds of operator products and weighted geometric means. Our results extend Callebaut-type inequalities for real numbers, matrices and operators.
Citation
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi Matematica, 65(2), 57-272, 2019