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Jensen’s type inequalities involving tracy-singh products, khatri-rao products, tracy-singh sums and khatri-rao sums
Author(s)
Ploymukda, Arnon
Date Issued
January 1, 2020
Type
Article
Abstract
In this paper, we establish a number of Jensen’s type inequalities for Hilbert space operators involving convex/concave functions, unital positive linear maps, and certain operator products and sums. The products and sums considered here include the Tracy-Singh product, the Khatri-Rao products, the Tracy-Singh sum, and the Khatri-Rao sum. Moreover, we generalize Jensen’s type inequalities in term of functional calculus of two-variable functions. In particular, we obtain Kantorovich-type operator inequalities involving the products and sums.
Citation
Thai Journal of Mathematics, 2020(Special Issue), 61-80, 2020