  In this paper, we study nonuniform average sampling problem in multiply
generated shift-invariant subspaces of mixed Lebesgue spaces. We discuss two
types of average sampled values: average sampled values $\{\left \langle
f,\psi_{a}(\cdot-x_{j},\cdot-y_{k}) \right \rangle:j,k\in\mathbb{J}\}$
generated by single averaging function and average sampled values $\left\{\left
\langle f,\psi_{x_{j},y_{k}}\right \rangle:j,k\in\mathbb{J}\right\}$ generated
by multiple averaging functions. Two fast reconstruction algorithms for this
two types of average sampled values are provided.
