Rational approximation of analytic functions

DOI10.1134/S0081543811030047zbMath1295.41009OpenAlexW2127176418MaRDI QIDQ2446981

A. A. Gonchar

Publication date: 23 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811030047

zbMATH Keywords

potential theoryanalytic functionrational approximationHermite-Padé approximantdiagonal Padé approximant

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20)

Related Items

Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Direct and inverse results on row sequences of Hermite-Padé approximants ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Solution of the Cauchy Problem for Ordinary Differential Equations Using the Collocation and Least Squares Method with the Pade Approximation ⋮ On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials ⋮ Inverse theorem on row sequences of linear Padé-orthogonal approximation ⋮ The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system ⋮ Rational approximation in a class of weighted Hardy spaces ⋮ Direct and inverse results for multipoint Hermite-Padé approximants

Cites Work

• On the equilibrium problem for vector potentials
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• Hermite-Pade approximants for systems of Markov-type functions
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