Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
This paper provides the theoretical foundation for the construction of lattice algorithms for multivariate $L_2$ approximation in the worst case setting, for functions in a periodic space with general weight parameters. Our construction leads to an error bound that achieves the best possible rate of convergence for lattice algorithms. This …