Berezin number inequalities in terms of Specht's

Smooth functions are associated with operators on Hilbert spaces of analytic through the Berezin transform. The symbol and number an operator A functional space H(Ω) over some set Ω reproducing kernel defined, respectively, by 
 ̃(μ)=〈A K_μ/K_μ ,K_μ/K_μ 〉,μ∈Ω ber(A)=sup┬(μ∈Ω)⁡|A ̃(μ)|. By using this bounded function ̃, we present new inequalities operators. Some respect to Specht's ratio improved generalized. Using these modifications, also establish various for radius norm