Abstract
Several upper and lower bounds of the Davis–Wielandt–Berezin radius of bounded linear operators defined on a reproducing kernel Hilbert space are given. Further, an inequality involving the Berezin number and the Davis–Wielandt–Berezin radius for the sum of two bounded linear operators is obtained, namely, if A and B are reproducing kernel Hilbert space operators, then η(A+B)≤η(A)+η(B)+ber(A∗B+B∗A), where η(·) and ber(·) are the Davis–Wielandt–Berezin radius and the Berezin number, respectively.