  Monogamy and polygamy of quantum correlations are the fundamental properties
of quantum systems. We study the monogamy and polygamy relations satisfied by
any quantum correlations in multipartite quantum systems. General monogamy
relations are presented for the $\alpha$th $(0\leq\alpha \leq\gamma$,
$\gamma\geq2)$ power of quantum correlation, and general polygamy relations are
given for the $\beta$th $(\beta\geq \delta$, $0\leq\delta\leq1)$ power of
quantum correlation. We show that these newly derived monogamy and polygamy
inequalities are tighter than the existing ones. By applying these results to
specific quantum correlations such as concurrence and the square of convex-roof
extended negativity of assistance (SCRENoA), the corresponding new classes of
monogamy and polygamy relations are obtained, which include the existing ones
as special cases. Detailed examples are given to illustrate the advantages of
our results.
