Some operator inequalities associated with Kantorovich and Holder-McCarthy inequalities and their applications

Basaran, Hamdullah; GÜRDAL, Mehmet; GÜNCAN, Ayşe

doi:10.3906/mat-1811-10

Some operator inequalities associated with Kantorovich and Holder-McCarthy inequalities and their applications

Basaran H., GÜRDAL M., GÜNCAN A. N.

TURKISH JOURNAL OF MATHEMATICS, vol.43, no.1, pp.523-532, 2019 (SCI-Expanded, Scopus, TRDizin)

Publication Type: Article / Article
Volume: 43 Issue: 1
Publication Date: 2019
Doi Number: 10.3906/mat-1811-10
Journal Name: TURKISH JOURNAL OF MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Page Numbers: pp.523-532
Keywords: Reproducing kernel Hilbert space, Berezin symbol, Berezin number, positive operator, Holder-McCarthy-type inequality, Kantorovich-type inequality, Heinz-Kato inequality, REPRODUCING KERNELS, BEREZIN SYMBOLS
Süleyman Demirel University Affiliated: Yes

Abstract

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.