Multipoint Hermite—Padé approximations for beta functions |
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| Authors: | A A Kandayan V N Sorokin |
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| Institution: | 1. Federal Bureau of Insurance Supervision, Moscow, Russia
2. Moscow State University, Moscow, Russia
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| Abstract: | We construct multipoint Hermite—Padé approximations for two beta functions generating the Nikishin system with infinite discrete measures and unbounded supports. The asymptotic behavior of the approximants is studied. The result is interpreted in terms of the vector equilibrium problem in logarithmic potential theory in the presence of an external field and constraints on measure. |
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