The Sharpness of Lorentz's Theorem on Incomplete Polynomials

DOI10.2307/1998917zbMath0414.41009OpenAlexW4232670072MaRDI QIDQ3049296

Richard S. Varga, Edward B. Saff

Publication date: 1979

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998917

zbMATH Keywords

rational approximationbounded sequencesLorentz's theorem on incomplete polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items (13)

On the asymptotic behavior of Jacobi polynomials with first varying parameter ⋮ On approximation by bivariate incomplete polynomials ⋮ On lacunary incomplete polynomials ⋮ On multivariate incomplete polynomials on starlike domains ⋮ Inequalities for polynomials with a prescribed zero ⋮ Incomplete polynomials of best approximation ⋮ Reverse Markov- and Bernstein-type inequalities for incomplete polynomials ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros ⋮ Strong asymptotics for Laguerre polynomials with varying weights ⋮ Two extremal problems for polynomials with an interior constraint ⋮ Weighted polynomials on finite and infinite intervals: a unified approach ⋮ Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials) ⋮ Trigonometric polynomials with many real zeros

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