- Turkish Journal of Mathematics
- Vol: 43 Issue: 1
- Some operator inequalities associated with Kantorovich and Hölder-McCarthy inequalities and their ap...
Some operator inequalities associated with Kantorovich and Hölder-McCarthy inequalities and their applications
Authors : Hamdullah Başaran, Mehmet Gürdal, Ayşe Nur Güncan
Pages : 523-532
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We prove analogs of certain operator inequalities, including Hölder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on the reproducing kernel Hilbert space.Keywords : Reproducing kernel Hilbert space, Berezin symbol, Berezin number, positive operator, Hölder-McCarthy-type inequality, Kantorovich-type inequality, Heinz-Kato inequality