Asymptotic representation of \(L_{p}\)-minimal polynomials, \(1 < p < \infty\)
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Publication:854985
DOI10.1007/S00365-006-0628-5zbMath1103.41006OpenAlexW2045763037MaRDI QIDQ854985
Franz Peherstorfer, András Kroó
Publication date: 20 December 2006
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-006-0628-5
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10)
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Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ Bounds of the error of Gauss-Turán-type quadratures. II. ⋮ Asymptotic representation of weighted L∞- and L1-minimal polynomials ⋮ The Remainder Term of Gauss–Turán Quadratures for Analytic Functions ⋮ Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)]
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