Approximation by rational functions Academic Article uri icon

abstract

  • Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f' is in L log L on a finite interval, then f can be approximated in the uniform norm by rational functions of degree n to an error 0(l/n) on that interval. © 1986 American Mathematical Society.

author list (cited authors)

  • DeVore, R. A.

citation count

  • 3

publication date

  • April 1986