Resumen de An extension of best L 2 local approximation

Hector H. Cuenya, David E. Ferreyra, Claudia V. Ridolfi

• We introduce two classes of functions, one containing the class of L2 differentiable functions, and another containing the class of L2 lateral differentiable functions. For functions in these new classes we prove existence of best local approximation at several points. Moreover, we get results about the asymptotic behavior of the derivatives of the net of best approximations, which are unknown even for L2 differentiable functions.