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Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation

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URI: https://hdl.handle.net/10016/37686
ISSN: 0001-8708
ISSN: 1090-2082 (online)
DOI: https://doi.org/10.1016/j.aim.2019.04.024
UXXI: AR/0000023791
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mixed_AM_2019_ps.pdf (389.44 KB)
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2019-06-20
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Elsevier Inc.
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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.
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Nikishin systems, Hermite-Padé approximation, Biorthogonal polynomials, Degasperis-Procesi equation, Convergence, Systems, Peakons
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López Lagomasino, G.; Medina Peralta, S.; Szmigielski, J. Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. In: Advances in Mathematics, vol. 349, June 2019, Pp. 813- 838
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