Abstract
We use a novel formation to illustrate the (α,β,γ) modified weighted Wigner-Yanase-Dyson ((α,β,γ) MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore the sum uncertainty relations for arbitrary N quantum channels and for unitary channels. These uncertainty inequalities are shown to be tighter than the existing ones by a detailed example. Our results are also applicable to the modified weighted Wigner-Yanase-Dyson (MWWYD) skew information and the (α,γ) modified weighted Wigner-Yanase-Dyson ((α,γ) MWWYD) skew information of quantum channels as special cases.