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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1811-10
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.523-532

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.