Generalized Hermite–Padé approximation for Nikishin systems of three functions

✍ Scribed by U. Fidalgo Prieto; G. López Lagomasino

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 547 KB
• Volume: 233
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.02.068

✦ Synopsis

Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field.