The λ-mean transform of operators

For λ in [0, 1], we introduce the λ-mean transform M_λ(T) of a Hilbert space operator T as an extension of some operator transforms based on the Duggal transform T^D by M_λ(T) := λT + (1 − λ)T^D and present estimates for the operator norm and .the numerical radius of M_λ(T) in terms of the original operator T