Asymptotics of polynomials orthogonal with respect to varying measures
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Publication:1118783
DOI10.1007/BF01889607zbMath0669.42012MaRDI QIDQ1118783
Publication date: 1989
Published in: Constructive Approximation (Search for Journal in Brave)
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Rate of convergence, degree of approximation (41A25)
Related Items (29)
Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures ⋮ Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product ⋮ On the convergence of the rational interpolation approximant of Carathéodory functions ⋮ Generalized Szegö theory in frequency analysis ⋮ Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials ⋮ Strong asymptotics of diagonal Frobenius-Padé approximants and Nikishin systems ⋮ Asymptotic behavior of orthogonal rational functions corresponding to measure with discrete part off the unit circle ⋮ Extensions of Szegö's theory of rational functions orthogonal on the unit circle ⋮ Frobenius-Padé approximants of piecewise analytic functions. II ⋮ Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle ⋮ Ratio asymptotics for orthogonal rational functions on an interval ⋮ The convergence properties of orthogonal rational functions on the extended real line and analytic on the upper half plane ⋮ The computation of orthogonal rational functions and their interpolating properties ⋮ Asymptotic properties of zeros of orthogonal rational functions ⋮ Interpolatory integration rules and orthogonal polynomials with varying weights ⋮ What distributions of points are possible for convergent sequences of interpolatory integration rules! ⋮ Asymptotic error for \(L^2\) best rational approximants to Markov functions ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product ⋮ A weak-star convergence result for orthogonal rational functions ⋮ Strong asymptotic behavior and weak convergence of polynomials orthogonal on an arc of the unit circle ⋮ Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity ⋮ On Orthogonal Polynomials with Respect to Varying Measures on the Unit Circle ⋮ Strong and weak convergence of orthogonal systems of rational functions on the unit circle ⋮ Some asymptotic properties for orthogonal polynomials with respect to varying measures ⋮ Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants ⋮ Orthogonal polynomials with respect to varying weights ⋮ Multiple orthogonal polynomials ⋮ On orthogonal systems of rational functions on the unit circle and polynomials orthogonal with respect to varying measures ⋮ Moment problems and orthogonal functions
Cites Work
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- Orthogonal polynomials with complex-valued weight function. I
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- A class of orthogonal polynomials
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- Strong and Weak Convergence of Orthogonal Polynomials
- ON MARKOV'S THEOREM FOR MULTIPOINT PADÉ APPROXIMANTS
- ON CONVERGENCE OF PADÉ APPROXIMANTS FOR SOME CLASSES OF MEROMORPHIC FUNCTIONS
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
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