Approximation Order without Quasi-Interpolants

摘要

In the study of approximation order, particularly in a multivariable setting,quasi-interpolants have played a major role. This report points out some limitations of quasi-interpolants and describes some recent results on approximation order obtained without the benefit of the quasi-interpolant idea. Approximation order, Strang-fix condition, Quasi-interpolants, Shift-invariant.