As corollaries we obtain the optimal order of convergence for functions from the Sobolev spaces $\ [H_p^s\]$ with isotropic, anisotropic, or mixed smoothness with given compact support for all values ...

Numerical integration of a multimodal integrand f (θ) is approached by Monte Carlo integration via importance sampling. A mixture of multivariate t density functions is suggested as an importance ...

Now that function-theory is fairly well developed, it is much easier than it used to be to discuss in an orderly way the elementary problems of explicit integration. By showing how this can be ...