  We establish tighter uncertainty relations for arbitrary finite observables
via $(\alpha,\beta,\gamma)$ weighted Wigner-Yanase-Dyson
($(\alpha,\beta,\gamma)$WWYD) skew information. The results are also applicable
to the $(\alpha,\gamma)$ weighted Wigner-Yanase-Dyson ($(\alpha,\gamma)$WWYD)
skew information and the weighted Wigner-Yanase-Dyson (WWYD) skew information.
We also present tighter lower bounds of quantum channels and unitary channels
via $(\alpha,\beta,\gamma)$ modified weighted Wigner-Yanase-Dyson
($(\alpha,\beta,\gamma)$MWWYD) skew information. Detailed examples are provided
to illustrate tightness of our uncertainty relations.
