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Integral inequalities of kantorovich and fiedler types for hadamard products of operators
Author(s)
Date Issued
July 1, 2016
Type
Article
Abstract
The scalar Kantorovich inequality is a reverse weighted arithmetic-harmonic mea inequality. In matrix case, this inequality is also a reverse version of Fiedler's inequality. I this paper, we establish several Kantorovich and Fiedler types integral inequalities involvin Hadamard products of continuous fields of Hilbert space operators. Kantorovich type inequalit in which the product is replaced by an operator mean is also investigated. Such inequalitie include discrete inequalities as special cases. Moreover, we obtain the monotonicity of certai maps involving Hadamard products of operators. As special cases, we get some operator version of Fiedler matrix inequality.
Citation
Mathematical Inequalities and Applications, 19(3), 955-968, 2016