Davis-Wielandt-Berezin radius inequalities via dragomir inequalities

We consider operator A on the reproducing Kernel Hilbert space H = H (Ω) over some set Ω with the reproducing kernel Kλ (z)=K (z,λ) and define Davis-Wielandt-Berezin radius η (A) by the formula (formula presented) where à is the Berezin symbol of A defined by (formula presented) where (formula presented) is the normalized reproducing kernel of H . We prove several inequalities for this new quantity η (A) involving known Dragomir inequalities. Some other Berezin number inequalities are also proved