Inverse Theorem on Row Sequences of Linear Pade-orthogonal Approximation Articles uri icon

publication date

  • December 2015

start page

  • 529

end page

  • 554

issue

  • 4

volume

  • 15

international standard serial number (ISSN)

  • 1617-9447

electronic international standard serial number (EISSN)

  • 2195-3724

abstract

  • arXiv:1411.7056 Abstract: We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Pade-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar's theorem on row sequences of Pade approximants.

keywords

  • padé approximation; padé-orthogonal approximation; orthogonal polynomials; fourier–padé approximation; inverse problems