  We use a novel formation to illustrate the ($\alpha,\beta,\gamma$) modified
weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) 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
($\alpha,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\gamma$)
MWWYD) skew information of quantum channels as special cases.
