Generalized Hermite-Padé Approximation for Nikishin Systems of Three Functions Articles uri icon

publication date

  • January 2010

start page

  • 1525

end page

  • 1533

issue

  • 6

volume

  • 233

international standard serial number (ISSN)

  • 0377-0427

electronic international standard serial number (EISSN)

  • 1879-1778

abstract

  • Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution
    is described in terms of the solution of a vector equilibrium problem in
    the presence of a vector external field.