scholarly journals Strong asymptotics of Hermite-Pade approximants for the Nikishin system of Jacobi weights

2017 ◽  
pp. 1-35
Author(s):  
Vladimir Genrikhovich Lysov
Keyword(s):  
Padé Approximants ◽  
Strong Asymptotics ◽  
Pade Approximants ◽  
Jacobi Weights ◽  
Nikishin System

scholarly journals Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials

2015 ◽  
Vol 215 (2) ◽  
pp. 217-280 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Maxim L. Yattselev
Keyword(s):  
Padé Approximants ◽  
Branch Points ◽  
Strong Asymptotics ◽  
Pade Approximants

scholarly journals Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems

2016 ◽  
Vol 68 (5) ◽  
pp. 1159-1200 ◽  
Author(s):  
Maxim L. Yattselev
Keyword(s):  
Padé Approximants ◽  
Type Ii ◽  
Strong Asymptotics ◽  
Pade Approximants ◽  
Cauchy Transforms ◽  
Work Type

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.

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