ON THE SPEED OF RATIONAL APPROXIMATION OF SOME ANALYTIC FUNCTIONS

DOI10.1070/SM1978v034n02ABEH001152zbMath0407.30027OpenAlexW1979394450MaRDI QIDQ4193718

A. A. Gonchar

Publication date: 1978

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1978v034n02abeh001152

zbMATH Keywords

Approximation in the Complex Domain

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (14)

Behavior of alternation points in best rational approximation ⋮ On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices ⋮ Convergent interpolation to Cauchy integrals over analytic arcs ⋮ Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method ⋮ Symmetric contours and convergent interpolation ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ Weak and strong asymptotics of orthogonal polynomials with varying weight ⋮ On rational approximation of Markov functions by partial sums of Fourier series on a Chebyshev-Markov system ⋮ Biorthogonal rational functions and the generalized eigenvalue problem ⋮ The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system ⋮ Asymptotic error for \(L^2\) best rational approximants to Markov functions ⋮ Rational approximations of functions of Markov-Stieltjes type in Hardy spaces \(H^p\), \(0 < p \leq \infty\) ⋮ Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection ⋮ Rate of convergence of Hermite-Padé approximants to a Nikishin-type system of analytic functions

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