Hamdullah BAŞARAN, Mehmet GÜRDAL, Ayşe Nur GÜNCAN

Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications

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 theBerezin number of operators on the reproducing kernel Hilbert space.

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