The λ-mean transform of operators

For λ ∈ [۰, ۱], we introduce the λ-mean transform Mλ(T) of a Hilbert space operatorT as an extension of some operator transforms based on the Duggal transformTD by Mλ(T) := λT + (۱ − λ)TD, and present estimates for the operator norm andthe numerical radius of Mλ(T) in terms of the original operator T.