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Inequalities on weighted classical pythagorean means, Tracy-Singh products, and Khatri-Rao products for hermitian operators
Author(s)
Ploymukda, Arnon
Date Issued
March 1, 2020
Type
Article
Abstract
We establish a number of operator inequalities between three kinds of means, namely, weighted arithmetic/harmonic/geometric means, and two kinds of operator products, namely, Tracy-Singh products and Khatri-Rao products. In this study, we have validated the data under certain assumptions relying on (opposite) synchronization, comparability, and spectra of operators. The tensor product of operators, and Tracy-Singh/Khatri-Rao products of matrices as special cases are presented.
Citation
Malaysian Journal of Fundamental and Applied Sciences, 16(2), 223-227, 2020