  We introduce the $\lambda$-mean transform $M_{\lambda}(T)$ of a Hilbert space
operator $T$ as an extension of some operator transforms based on the Duggal
transform $T^D$ by $M_{\lambda}(T) := \lambda T + (1-\lambda)T^D$, and present
some of its essentially properties. Among other things, we obtain estimates for
the operator norm and numerical radius of the $\lambda$-mean transform
$M_{\lambda}(T)$ in terms of the original operator $T$.

Functional Analysis