TURKISH JOURNAL OF MATHEMATICS, vol.43, no.1, pp.523-532, 2019 (Peer-Reviewed Journal)
Article / Article
TURKISH JOURNAL OF MATHEMATICS
Science Citation Index Expanded, Scopus, TR DİZİN (ULAKBİM)
Reproducing kernel Hilbert space, Berezin symbol, Berezin number, positive operator, Holder-McCarthy-type inequality, Kantorovich-type inequality, Heinz-Kato inequality, REPRODUCING KERNELS, BEREZIN SYMBOLS
We prove analogs of certain operator inequalities, including Holder-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.