Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
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1432-0940
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| Keywords: |
Primary 41A21 ; 41A25 ; 42CO5 ; Secondary ; 30E10 ; 31A99 ; Padé approximants ; Laurent-type orthogonal polynomials ; Stieltjes-type meromorphic functions ; Logarithmic asymptotics ; Christoffel function ; Potential theory
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
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| Notes: |
Abstract The logarithmic asymptotics of Laurent-type orthogonal polynomials is obtained for a wide class of weights. This is used to estimate the exact rate of convergence of two-point Padé approximants for the corresponding class of Stieltjes-type meromorphic functions.
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| Type of Medium: |
Electronic Resource
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| URL: |