On the distribution of simple zeros of polynomials

DOI10.1016/0021-9045(92)90002-6zbMath0757.41011OpenAlexW2070124728MaRDI QIDQ1196884

Hans-Peter Blatt

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90002-6

zbMATH Keywords

monic polynomialsdistribution of zeros

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (16)

Poles and alternation points in real rational Chebyshev approximation ⋮ A discrepancy theorem concerning polynomials of best approximation in \(L^ p_ w [-1, 1\)] ⋮ Distribution of interpolation points ⋮ Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem ⋮ POLYNOMIALS WITH ZEROS ON THE UNIT CIRCLE: REGULARITY OF LEJA SEQUENCES ⋮ ROOTS OF TRIGONOMETRIC POLYNOMIALS AND THE ERDŐS–TURÁN THEOREM ⋮ On the distribution of the roots of polynomials ⋮ A low discrepancy sequence on graphs ⋮ Estimates for the discrepancy of a signed measure using its energy norm ⋮ A local discrepancy theorem ⋮ Distribution of simple zeros of polynomials ⋮ On the distribution of alternation points in uniform polynomial approximation of entire functions ⋮ Some discrepancy theorems in the theory of weighted polynomial approximation ⋮ Cosine polynomials with few zeros ⋮ The Hadamard product of polynomials in \(H^0\) ⋮ A general discrepancy theorem

Cites Work

• On the distribution of the points of Chebyshev alternation with applications to strong unicity constants
• On the distribution of roots of polynomials
• On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials
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