Yamancı, Ulaş2022-12-262022-12-262022https://doi.org/10.31801/cfsuasmas.926981http://hdl.handle.net/20.500.12575/86474In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number b e r ( A ) for some self-adjoint operators A on H ( Ω ) . Namely, some Mulholland type inequality for reproducing kernel Hilbert space operators are established. By applying this inequality, we prove that ( b e r ( A ) ) n ≤ C 1 b e r ( A n ) for any positive operator A on H ( Ω ) .enMulholland type inequality, Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbolArticle7112042111303-5991