Multivariate rational approximation Academic Article uri icon

abstract

  • We estimate the error in approximating a function f by rational functions of degree n in the norm of Lq(Ω,), Ω:= [0, 1]d. Among other things, we prove that if f is in the Sobolev space Wpk(Ω) and if k/d - l/p + l/q > 0, then /can be approximated by rational functions of degree n to an order 0(n-k/d). © 1986 American Mathematical Society.

author list (cited authors)

  • DeVore, R. A., & Yu, X. M.

citation count

  • 4

publication date

  • January 1986