HARDY-HILBERT'S INEQUALITY AND POWER INEQUALITIES FOR BEREZIN NUMBERS OF OPERATORS


GARAYEV M. T. , GÜRDAL M. , OKUDAN A.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.19, ss.883-891, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.7153/mia-19-64
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Sayfa Sayısı: ss.883-891

Özet

We give operator analogues of some classical inequalities, including Hardy and Hardy-Hilbert type inequalities for numbers. We apply these operator forms of such inequalities for proving some power inequalities for the so-called Berezin number of self-adjoint and positive operators acting on Reproducing Kernel Hilbert Spaces (RKHSs). More precisely, we prove that