Direct and Inverse Results on Row Sequences of Hermite-Padé Approximation Articles uri icon

publication date

  • August 2013

start page

  • 133

end page

  • 160

issue

  • 1

volume

  • 38

international standard serial number (ISSN)

  • 0176-4276

electronic international standard serial number (EISSN)

  • 1432-0940

abstract

  • We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.

keywords

  • montessus de ballore theorem; simultaneous approximation; hermite-pade approximation; rate of convergence; inverse results