HARDY-HILBERT'S INEQUALITY AND POWER INEQUALITIES FOR BEREZIN NUMBERS OF OPERATORS
MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.19, sa.3, ss.883-891, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 3
- Basım Tarihi: 2016
- Doi Numarası: 10.7153/mia-19-64
- Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.883-891
- Anahtar Kelimeler: Hardy inequality, Hardy-Hilbert inequality, Berezin symbol, Berezin number, positive operator, self-adjoint operator, REPRODUCING KERNELS, SPACES, SYMBOL
- Süleyman Demirel Üniversitesi Adresli: Evet
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