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Berezin number inequality for convex function in reproducing Kernel Hilbert Space

Yamancı Ulaş (Süleyman Demirel University, Faculty of Arts and Sciences, Department of Statistics, Isparta, Turkey)
Gürdal Mehmet (Süleyman Demirel University, Faculty of Arts and Sciences, Department of Mathematics, Isparta, Turkey)
Garayev Mubariz T. (King Saud University, College of Science, Department of Mathematics, Riyadh, Saudi Arabia)

By using Hardy-Hilbert’s inequality, some power inequalities for the Berezin number of a selfadjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs) with applications for convex functions are given.

Keywords: numerical radius, Hardy-Hilbert’s inequality, Berezin number, self-adjoint operator, convex function