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, cilt.43, sa.1, ss.523-532, 2019 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.3906/mat-1811-10
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.523-532
Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.