  We propose an alternative reconstruction for weighted essentially
non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic
conservation laws. The alternative reconstruction has a more concise form than
the original WENO-AO reconstruction. Moreover, it is a strictly convex
combination of polynomials with unequal degrees. Numerical examples show that
the alternative reconstruction maintains the accuracy and robustness of the
WENO-AO schemes.
