Mixed type Hermite-Pade approximation inspired by the Degasperis-Procesi equation Articles uri icon

publication date

  • June 2019

start page

  • 813

end page

  • 838

volume

  • 349

international standard serial number (ISSN)

  • 0001-8708

electronic international standard serial number (EISSN)

  • 1090-2082

abstract

  • In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Pade approximants of a Nikishin system. The study is motivated by a mixed Hermite-Pade approximation scheme used in the construction of solutions of a Degasperis-Procesi peakon problem and germane to the analysis of the inverse spectral problem for the discrete cubic string. (C) 2019 Elsevier Inc. All rights reserved.

keywords

  • nikishin systems; hermite-pade approximation; biorthogonal polynomials; degasperis-procesi equation; convergence; systems; peakons