Strong asymptotics of diagonal Frobenius–Padé approximants and Nikishin systems

2016 ◽  
Vol 99 (5-6) ◽  
pp. 938-941 ◽  
Author(s):  
A. I. Bogolyubskii
2015 ◽  
Vol 215 (2) ◽  
pp. 217-280 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Maxim L. Yattselev

2016 ◽  
Vol 68 (5) ◽  
pp. 1159-1200 ◽  
Author(s):  
Maxim L. Yattselev

AbstractIn this work type II Hermite-Padé approximants for a vector of Cauchy transforms of smooth Jacobi-type densities are considered. It is assumed that densities are supported on mutually disjoint intervals (an Angelesco system with complex weights). The formulae of strong asymptotics are derived for any ray sequence of multi-indices.


1999 ◽  
Vol 105 (1-2) ◽  
pp. 285-297 ◽  
Author(s):  
Jacek Gilewicz ◽  
Maciej Pindor

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