Mixed type Hermite-Padé 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-Padé approximants of a Nikishin system. The study is motivated by a mixed Hermite-Padé 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.

subjects

  • Mathematics

keywords

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