  A set of arbitrarily high-order WENO schemes for reconstructions on
nonuniform grids is presented. These non-linear interpolation methods use
simple smoothness indicators with a linear cost with respect to the order,
making them easy to implement and computationally efficient. The theoretical
analysis to verify the accuracy and the essentially non-oscillatory properties
are presented together with some numerical experiments involving algebraic
problems in order to validate them. Also, these general schemes are applied for
the solution of conservation laws and hyperbolic systems in the context of
finite volume methods.
