Concepedia

On the Erdös Conjecture Concerning Minimal Norm Interpolation on the Unit Circle

SIAM Journal on Numerical Analysis · 1980 · 20 citations · 3 references

Concepts

Natural SciencesComputer ScienceMathematicsComputational GeometryGeometryTheory Of ComputationAlgebraic GeometryArithmetic GeometryBernstein PolynomialsInterpolation PointsInterpolation TheoryOptimal InterpolationPolynomial InterpolationProjections

Abstract

The purpose of this note is to complete the proof of the Erdős conjecture concerning optimal points of polynomial interpolation on the unit circle when the number of these points is even.

References

3

Proof of the conjectures of Bernstein and Erdös concerning the optimal nodes for polynomial interpolation

Carl de Boor, Allan Pinkus · Journal of Approximation Theory · 1978 · 78 citations

Computing, Computer Science, Mathematics +6

A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm

Theodore Kilgore · Journal of Approximation Theory · 1978 · 75 citations

Natural Sciences, Computer Science, Computational Geometry +4

On the Polynomial and Rational Projections in the Complex Plane

L. Brutman · SIAM Journal on Numerical Analysis · 1980 · 18 citations

Natural Sciences, Mathematics, Computational Geometry +10